What is the Least Common Multiple of 94920 and 94935?

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 94920 and 94935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94920 and 94935, than apply into the LCM equation.

GCF(94920,94935) = 15
LCM(94920,94935) = ( 94920 × 94935) / 15
LCM(94920,94935) = 9011230200 / 15
LCM(94920,94935) = 600748680

Least Common Multiple (LCM) of 94920 and 94935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94920 and 94935. First we will calculate the prime factors of 94920 and 94935.

Prime Factorization of 94920

Prime Factorization of 94935

Now multiplying the highest exponent prime factors to calculate the LCM of 94920 and 94935.

LCM(94920,94935) = 2³ × 3¹ × 5¹ × 7¹ × 113¹ × 6329¹
LCM(94920,94935) = 600748680