What is the Least Common Multiple of 72498 and 72512?

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 72498 and 72512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72498 and 72512, than apply into the LCM equation.

GCF(72498,72512) = 2
LCM(72498,72512) = ( 72498 × 72512) / 2
LCM(72498,72512) = 5256974976 / 2
LCM(72498,72512) = 2628487488

Least Common Multiple (LCM) of 72498 and 72512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72498 and 72512. First we will calculate the prime factors of 72498 and 72512.

Prime Factorization of 72498

Prime Factorization of 72512

Now multiplying the highest exponent prime factors to calculate the LCM of 72498 and 72512.

LCM(72498,72512) = 2⁶ × 3¹ × 43¹ × 281¹ × 11¹ × 103¹
LCM(72498,72512) = 2628487488