What is the Least Common Multiple of 94252 and 94256?

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 94252 and 94256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94252 and 94256, than apply into the LCM equation.

GCF(94252,94256) = 4
LCM(94252,94256) = ( 94252 × 94256) / 4
LCM(94252,94256) = 8883816512 / 4
LCM(94252,94256) = 2220954128

Least Common Multiple (LCM) of 94252 and 94256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94252 and 94256. First we will calculate the prime factors of 94252 and 94256.

Prime Factorization of 94252

Prime Factorization of 94256

Now multiplying the highest exponent prime factors to calculate the LCM of 94252 and 94256.

LCM(94252,94256) = 2⁴ × 23563¹ × 43¹ × 137¹
LCM(94252,94256) = 2220954128