What is the Least Common Multiple of 72506 and 72511?

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 72506 and 72511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72506 and 72511, than apply into the LCM equation.

GCF(72506,72511) = 1
LCM(72506,72511) = ( 72506 × 72511) / 1
LCM(72506,72511) = 5257482566 / 1
LCM(72506,72511) = 5257482566

Least Common Multiple (LCM) of 72506 and 72511 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72506 and 72511. First we will calculate the prime factors of 72506 and 72511.

Prime Factorization of 72506

Prime Factorization of 72511

Now multiplying the highest exponent prime factors to calculate the LCM of 72506 and 72511.

LCM(72506,72511) = 2¹ × 7¹ × 5179¹ × 59¹ × 1229¹
LCM(72506,72511) = 5257482566