What is the Least Common Multiple of 94611 and 94624?

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 94611 and 94624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94611 and 94624, than apply into the LCM equation.

GCF(94611,94624) = 1
LCM(94611,94624) = ( 94611 × 94624) / 1
LCM(94611,94624) = 8952471264 / 1
LCM(94611,94624) = 8952471264

Least Common Multiple (LCM) of 94611 and 94624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94611 and 94624. First we will calculate the prime factors of 94611 and 94624.

Prime Factorization of 94611

Prime Factorization of 94624

Now multiplying the highest exponent prime factors to calculate the LCM of 94611 and 94624.

LCM(94611,94624) = 3¹ × 11¹ × 47¹ × 61¹ × 2⁵ × 2957¹
LCM(94611,94624) = 8952471264