What is the Least Common Multiple of 72608 and 72628?

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 72608 and 72628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72608 and 72628, than apply into the LCM equation.

GCF(72608,72628) = 4
LCM(72608,72628) = ( 72608 × 72628) / 4
LCM(72608,72628) = 5273373824 / 4
LCM(72608,72628) = 1318343456

Least Common Multiple (LCM) of 72608 and 72628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72608 and 72628. First we will calculate the prime factors of 72608 and 72628.

Prime Factorization of 72608

Prime Factorization of 72628

Now multiplying the highest exponent prime factors to calculate the LCM of 72608 and 72628.

LCM(72608,72628) = 2⁵ × 2269¹ × 67¹ × 271¹
LCM(72608,72628) = 1318343456