What is the Least Common Multiple of 73696 and 73708?

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 73696 and 73708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73696 and 73708, than apply into the LCM equation.

GCF(73696,73708) = 4
LCM(73696,73708) = ( 73696 × 73708) / 4
LCM(73696,73708) = 5431984768 / 4
LCM(73696,73708) = 1357996192

Least Common Multiple (LCM) of 73696 and 73708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73696 and 73708. First we will calculate the prime factors of 73696 and 73708.

Prime Factorization of 73696

Prime Factorization of 73708

Now multiplying the highest exponent prime factors to calculate the LCM of 73696 and 73708.

LCM(73696,73708) = 2⁵ × 7² × 47¹ × 18427¹
LCM(73696,73708) = 1357996192