What is the Least Common Multiple of 94912 and 94932?

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 94912 and 94932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94912 and 94932, than apply into the LCM equation.

GCF(94912,94932) = 4
LCM(94912,94932) = ( 94912 × 94932) / 4
LCM(94912,94932) = 9010185984 / 4
LCM(94912,94932) = 2252546496

Least Common Multiple (LCM) of 94912 and 94932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94912 and 94932. First we will calculate the prime factors of 94912 and 94932.

Prime Factorization of 94912

Prime Factorization of 94932

Now multiplying the highest exponent prime factors to calculate the LCM of 94912 and 94932.

LCM(94912,94932) = 2⁶ × 1483¹ × 3⁴ × 293¹
LCM(94912,94932) = 2252546496