GCF and LCM Calculator Logo

What is the Least Common Multiple of 92844 and 92852?

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 92844 and 92852 is 2155187772.

LCM(92844,92852) = 2155187772

LCM Calculator and
and

Least Common Multiple of 92844 and 92852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92844 and 92852, than apply into the LCM equation.

GCF(92844,92852) = 4
LCM(92844,92852) = ( 92844 × 92852) / 4
LCM(92844,92852) = 8620751088 / 4
LCM(92844,92852) = 2155187772

Least Common Multiple (LCM) of 92844 and 92852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92844 and 92852. First we will calculate the prime factors of 92844 and 92852.

Prime Factorization of 92844

Prime factors of 92844 are 2, 3, 2579. Prime factorization of 92844 in exponential form is:

92844 = 22 × 32 × 25791

Prime Factorization of 92852

Prime factors of 92852 are 2, 139, 167. Prime factorization of 92852 in exponential form is:

92852 = 22 × 1391 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 92844 and 92852.

LCM(92844,92852) = 22 × 32 × 25791 × 1391 × 1671
LCM(92844,92852) = 2155187772