What is the Least Common Multiple of 72921 and 72928?

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 72921 and 72928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72921 and 72928, than apply into the LCM equation.

GCF(72921,72928) = 1
LCM(72921,72928) = ( 72921 × 72928) / 1
LCM(72921,72928) = 5317982688 / 1
LCM(72921,72928) = 5317982688

Least Common Multiple (LCM) of 72921 and 72928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72921 and 72928. First we will calculate the prime factors of 72921 and 72928.

Prime Factorization of 72921

Prime Factorization of 72928

Now multiplying the highest exponent prime factors to calculate the LCM of 72921 and 72928.

LCM(72921,72928) = 3¹ × 109¹ × 223¹ × 2⁵ × 43¹ × 53¹
LCM(72921,72928) = 5317982688