GCF and LCM Calculator Logo

What is the Least Common Multiple of 8929 and 8946?

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 8929 and 8946 is 79878834.

LCM(8929,8946) = 79878834

LCM Calculator and
and

Least Common Multiple of 8929 and 8946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8929 and 8946, than apply into the LCM equation.

GCF(8929,8946) = 1
LCM(8929,8946) = ( 8929 × 8946) / 1
LCM(8929,8946) = 79878834 / 1
LCM(8929,8946) = 79878834

Least Common Multiple (LCM) of 8929 and 8946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8929 and 8946. First we will calculate the prime factors of 8929 and 8946.

Prime Factorization of 8929

Prime factors of 8929 are 8929. Prime factorization of 8929 in exponential form is:

8929 = 89291

Prime Factorization of 8946

Prime factors of 8946 are 2, 3, 7, 71. Prime factorization of 8946 in exponential form is:

8946 = 21 × 32 × 71 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 8929 and 8946.

LCM(8929,8946) = 89291 × 21 × 32 × 71 × 711
LCM(8929,8946) = 79878834