What is the Least Common Multiple of 94561 and 94574?

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 94561 and 94574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94561 and 94574, than apply into the LCM equation.

GCF(94561,94574) = 1
LCM(94561,94574) = ( 94561 × 94574) / 1
LCM(94561,94574) = 8943012014 / 1
LCM(94561,94574) = 8943012014

Least Common Multiple (LCM) of 94561 and 94574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94561 and 94574. First we will calculate the prime factors of 94561 and 94574.

Prime Factorization of 94561

Prime Factorization of 94574

Now multiplying the highest exponent prime factors to calculate the LCM of 94561 and 94574.

LCM(94561,94574) = 94561¹ × 2¹ × 47287¹
LCM(94561,94574) = 8943012014