What is the Least Common Multiple of 94935 and 94953?

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 94935 and 94953 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94935 and 94953, than apply into the LCM equation.

GCF(94935,94953) = 3
LCM(94935,94953) = ( 94935 × 94953) / 3
LCM(94935,94953) = 9014363055 / 3
LCM(94935,94953) = 3004787685

Least Common Multiple (LCM) of 94935 and 94953 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94935 and 94953. First we will calculate the prime factors of 94935 and 94953.

Prime Factorization of 94935

Prime Factorization of 94953

Now multiplying the highest exponent prime factors to calculate the LCM of 94935 and 94953.

LCM(94935,94953) = 3¹ × 5¹ × 6329¹ × 31¹ × 1021¹
LCM(94935,94953) = 3004787685