What is the Least Common Multiple of 74896 and 74916?

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 74896 and 74916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74896 and 74916, than apply into the LCM equation.

GCF(74896,74916) = 4
LCM(74896,74916) = ( 74896 × 74916) / 4
LCM(74896,74916) = 5610908736 / 4
LCM(74896,74916) = 1402727184

Least Common Multiple (LCM) of 74896 and 74916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74896 and 74916. First we will calculate the prime factors of 74896 and 74916.

Prime Factorization of 74896

Prime Factorization of 74916

Now multiplying the highest exponent prime factors to calculate the LCM of 74896 and 74916.

LCM(74896,74916) = 2⁴ × 31¹ × 151¹ × 3² × 2081¹
LCM(74896,74916) = 1402727184