GCF and LCM Calculator Logo

What is the Least Common Multiple of 8932 and 8952?

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 8932 and 8952 is 19989816.

LCM(8932,8952) = 19989816

LCM Calculator and
and

Least Common Multiple of 8932 and 8952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8932 and 8952, than apply into the LCM equation.

GCF(8932,8952) = 4
LCM(8932,8952) = ( 8932 × 8952) / 4
LCM(8932,8952) = 79959264 / 4
LCM(8932,8952) = 19989816

Least Common Multiple (LCM) of 8932 and 8952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8932 and 8952. First we will calculate the prime factors of 8932 and 8952.

Prime Factorization of 8932

Prime factors of 8932 are 2, 7, 11, 29. Prime factorization of 8932 in exponential form is:

8932 = 22 × 71 × 111 × 291

Prime Factorization of 8952

Prime factors of 8952 are 2, 3, 373. Prime factorization of 8952 in exponential form is:

8952 = 23 × 31 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 8932 and 8952.

LCM(8932,8952) = 23 × 71 × 111 × 291 × 31 × 3731
LCM(8932,8952) = 19989816