What is the Least Common Multiple of 94739 and 94747?

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 94739 and 94747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94739 and 94747, than apply into the LCM equation.

GCF(94739,94747) = 1
LCM(94739,94747) = ( 94739 × 94747) / 1
LCM(94739,94747) = 8976236033 / 1
LCM(94739,94747) = 8976236033

Least Common Multiple (LCM) of 94739 and 94747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94739 and 94747. First we will calculate the prime factors of 94739 and 94747.

Prime Factorization of 94739

Prime Factorization of 94747

Now multiplying the highest exponent prime factors to calculate the LCM of 94739 and 94747.

LCM(94739,94747) = 211¹ × 449¹ × 94747¹
LCM(94739,94747) = 8976236033