What is the Least Common Multiple of 92964 and 92974?

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 of 92964 and 92974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92964 and 92974, than apply into the LCM equation.

GCF(92964,92974) = 2
LCM(92964,92974) = ( 92964 × 92974) / 2
LCM(92964,92974) = 8643234936 / 2
LCM(92964,92974) = 4321617468

Least Common Multiple (LCM) of 92964 and 92974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92964 and 92974. First we will calculate the prime factors of 92964 and 92974.

Prime Factorization of 92964

Prime Factorization of 92974

Now multiplying the highest exponent prime factors to calculate the LCM of 92964 and 92974.

LCM(92964,92974) = 2² × 3¹ × 61¹ × 127¹ × 7¹ × 29¹ × 229¹
LCM(92964,92974) = 4321617468