GCF and LCM Calculator Logo

What is the Least Common Multiple of 12954 and 12962?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 12954 and 12962 is 83954874.

LCM(12954,12962) = 83954874

LCM Calculator and
and

Least Common Multiple of 12954 and 12962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12954 and 12962, than apply into the LCM equation.

GCF(12954,12962) = 2
LCM(12954,12962) = ( 12954 × 12962) / 2
LCM(12954,12962) = 167909748 / 2
LCM(12954,12962) = 83954874

Least Common Multiple (LCM) of 12954 and 12962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12954 and 12962. First we will calculate the prime factors of 12954 and 12962.

Prime Factorization of 12954

Prime factors of 12954 are 2, 3, 17, 127. Prime factorization of 12954 in exponential form is:

12954 = 21 × 31 × 171 × 1271

Prime Factorization of 12962

Prime factors of 12962 are 2, 6481. Prime factorization of 12962 in exponential form is:

12962 = 21 × 64811

Now multiplying the highest exponent prime factors to calculate the LCM of 12954 and 12962.

LCM(12954,12962) = 21 × 31 × 171 × 1271 × 64811
LCM(12954,12962) = 83954874