What is the Least Common Multiple of 94928 and 94936?

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 94928 and 94936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94928 and 94936, than apply into the LCM equation.

GCF(94928,94936) = 8
LCM(94928,94936) = ( 94928 × 94936) / 8
LCM(94928,94936) = 9012084608 / 8
LCM(94928,94936) = 1126510576

Least Common Multiple (LCM) of 94928 and 94936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94928 and 94936. First we will calculate the prime factors of 94928 and 94936.

Prime Factorization of 94928

Prime Factorization of 94936

Now multiplying the highest exponent prime factors to calculate the LCM of 94928 and 94936.

LCM(94928,94936) = 2⁴ × 17¹ × 349¹ × 11867¹
LCM(94928,94936) = 1126510576