What is the Least Common Multiple of 72628 and 72640?

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 72628 and 72640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72628 and 72640, than apply into the LCM equation.

GCF(72628,72640) = 4
LCM(72628,72640) = ( 72628 × 72640) / 4
LCM(72628,72640) = 5275697920 / 4
LCM(72628,72640) = 1318924480

Least Common Multiple (LCM) of 72628 and 72640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72628 and 72640. First we will calculate the prime factors of 72628 and 72640.

Prime Factorization of 72628

Prime Factorization of 72640

Now multiplying the highest exponent prime factors to calculate the LCM of 72628 and 72640.

LCM(72628,72640) = 2⁶ × 67¹ × 271¹ × 5¹ × 227¹
LCM(72628,72640) = 1318924480