What is the Least Common Multiple of 94544 and 94557?

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 94544 and 94557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94544 and 94557, than apply into the LCM equation.

GCF(94544,94557) = 1
LCM(94544,94557) = ( 94544 × 94557) / 1
LCM(94544,94557) = 8939797008 / 1
LCM(94544,94557) = 8939797008

Least Common Multiple (LCM) of 94544 and 94557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94544 and 94557. First we will calculate the prime factors of 94544 and 94557.

Prime Factorization of 94544

Prime Factorization of 94557

Now multiplying the highest exponent prime factors to calculate the LCM of 94544 and 94557.

LCM(94544,94557) = 2⁴ × 19¹ × 311¹ × 3¹ × 43¹ × 733¹
LCM(94544,94557) = 8939797008