What is the Least Common Multiple of 94544 and 94561?

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 94561 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 94561, than apply into the LCM equation.

GCF(94544,94561) = 1
LCM(94544,94561) = ( 94544 × 94561) / 1
LCM(94544,94561) = 8940175184 / 1
LCM(94544,94561) = 8940175184

Least Common Multiple (LCM) of 94544 and 94561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94544 and 94561. First we will calculate the prime factors of 94544 and 94561.

Prime Factorization of 94544

Prime Factorization of 94561

Now multiplying the highest exponent prime factors to calculate the LCM of 94544 and 94561.

LCM(94544,94561) = 2⁴ × 19¹ × 311¹ × 94561¹
LCM(94544,94561) = 8940175184