What is the Least Common Multiple of 74900 and 74912?

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 74900 and 74912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74900 and 74912, than apply into the LCM equation.

GCF(74900,74912) = 4
LCM(74900,74912) = ( 74900 × 74912) / 4
LCM(74900,74912) = 5610908800 / 4
LCM(74900,74912) = 1402727200

Least Common Multiple (LCM) of 74900 and 74912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74900 and 74912. First we will calculate the prime factors of 74900 and 74912.

Prime Factorization of 74900

Prime Factorization of 74912

Now multiplying the highest exponent prime factors to calculate the LCM of 74900 and 74912.

LCM(74900,74912) = 2⁵ × 5² × 7¹ × 107¹ × 2341¹
LCM(74900,74912) = 1402727200