Free LCM Calculator identify the least typical multiple (LCM) between 6 and 12 the the smallest integer that is 12 that is divisible by both numbers.
You are watching: What is the lcm of 6 and 12
Least usual Multiple (LCM) of 6 and 12 is 12.
LCM(6,12) = 12
Least common multiple have the right to be discovered by multiply the highest possible exponent prime determinants of 6 and 12. An initial we will certainly calculate the prime components of 6 and 12.
Prime administrate of 6
| 2 | 6 |
| 3 | 3 |
| 1 |
Prime components of 6 room 2,3. Element factorization the 6 in exponential type is:
6 = 21×31Prime factorization of 12
| 2 | 12 |
| 2 | 6 |
| 3 | 3 |
| 1 |
Prime determinants of 12 space 2,3. Prime factorization the 12 in exponential kind is:
12 = 22×31Now multiply the highest possible exponent prime components to calculate the LCM the 6 and also 12.
LCM(6,12) = 22×31LCM(6,12) = 12
Factors that 6
List of hopeful integer factors of 6 the divides 6 without a remainder.
1, 2, 3, 6
Factors the 12
List of confident integer factors of 12 the divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Least typical Multiple that 6 and 12 with GCF Formula
The formula the LCM is LCM(a,b) = ( a × b) / GCF(a,b).We must calculate greatest usual factor 6 and also 12, than use into the LCM equation.
GCF(6,12) = 6LCM(6,12) = ( 6 × 12) / 6LCM(6,12) = 72 / 6LCM(6,12) = 12
Properties of LCM 6 and 12
(i) The LCM of 12 and 6 is associative
LCM that 6 and also 12 = LCM of 12 and 6
Related Least common Multiples of 6
Related Least typical Multiples that 12
Frequently Asked inquiries on LCM the 6 and also 12
1. What is the LCM that 6 and 12?
Answer: LCM of 6 and 12 is 12.
2. What space the determinants of 6?
Answer: factors of 6 are 1, 2, 3, 6. There are 4 integers the are components of 6. The greatest variable of 6 is 6.
3. What are the determinants of 12?
Answer: factors of 12 are 1, 2, 3, 4, 6, 12. There are 6 integers the are components of 12. The greatest variable of 12 is 12.
See more: For S, P, D, And F Orbitals, How Many Electrons Can The D Sublevel Hold ?
4. Exactly how to find the LCM of 6 and 12?
Answer:
Least typical Multiple of 6 and also 12 = 12
Step 1: uncover the prime factorization the 6
6 = 2 x 3
Step 2: discover the prime factorization that 12
12 = 2 x 2 x 3
Step 3: multiply each aspect the greater variety of times it occurs in measures i) or ii) over to discover the lcm:
LCM = 12 = 2 x 2 x 3
Step 4: Therefore, the least common multiple of 6 and 12 is 12.
favorite Calculators
Most renowned
firm Follow us