What is the Least Common Multiple of 73664 and 73676?

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 73664 and 73676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73664 and 73676, than apply into the LCM equation.

GCF(73664,73676) = 4
LCM(73664,73676) = ( 73664 × 73676) / 4
LCM(73664,73676) = 5427268864 / 4
LCM(73664,73676) = 1356817216

Least Common Multiple (LCM) of 73664 and 73676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73664 and 73676. First we will calculate the prime factors of 73664 and 73676.

Prime Factorization of 73664

Prime Factorization of 73676

Now multiplying the highest exponent prime factors to calculate the LCM of 73664 and 73676.

LCM(73664,73676) = 2⁶ × 1151¹ × 113¹ × 163¹
LCM(73664,73676) = 1356817216