What is the Least Common Multiple of 94016 and 94024?

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 94016 and 94024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94016 and 94024, than apply into the LCM equation.

GCF(94016,94024) = 8
LCM(94016,94024) = ( 94016 × 94024) / 8
LCM(94016,94024) = 8839760384 / 8
LCM(94016,94024) = 1104970048

Least Common Multiple (LCM) of 94016 and 94024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94016 and 94024. First we will calculate the prime factors of 94016 and 94024.

Prime Factorization of 94016

Prime Factorization of 94024

Now multiplying the highest exponent prime factors to calculate the LCM of 94016 and 94024.

LCM(94016,94024) = 2⁶ × 13¹ × 113¹ × 7¹ × 23¹ × 73¹
LCM(94016,94024) = 1104970048