GCF and LCM Calculator Logo

What is the Least Common Multiple of 92965 and 92976?

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 92965 and 92976 is 8643513840.

LCM(92965,92976) = 8643513840

LCM Calculator and
and

Least Common Multiple of 92965 and 92976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92965 and 92976, than apply into the LCM equation.

GCF(92965,92976) = 1
LCM(92965,92976) = ( 92965 × 92976) / 1
LCM(92965,92976) = 8643513840 / 1
LCM(92965,92976) = 8643513840

Least Common Multiple (LCM) of 92965 and 92976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92965 and 92976. First we will calculate the prime factors of 92965 and 92976.

Prime Factorization of 92965

Prime factors of 92965 are 5, 18593. Prime factorization of 92965 in exponential form is:

92965 = 51 × 185931

Prime Factorization of 92976

Prime factors of 92976 are 2, 3, 13, 149. Prime factorization of 92976 in exponential form is:

92976 = 24 × 31 × 131 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 92965 and 92976.

LCM(92965,92976) = 51 × 185931 × 24 × 31 × 131 × 1491
LCM(92965,92976) = 8643513840