What is the Least Common Multiple of 94928 and 94942?

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 94942 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 94942, than apply into the LCM equation.

GCF(94928,94942) = 2
LCM(94928,94942) = ( 94928 × 94942) / 2
LCM(94928,94942) = 9012654176 / 2
LCM(94928,94942) = 4506327088

Least Common Multiple (LCM) of 94928 and 94942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94928 and 94942. First we will calculate the prime factors of 94928 and 94942.

Prime Factorization of 94928

Prime Factorization of 94942

Now multiplying the highest exponent prime factors to calculate the LCM of 94928 and 94942.

LCM(94928,94942) = 2⁴ × 17¹ × 349¹ × 37¹ × 1283¹
LCM(94928,94942) = 4506327088