What is the Least Common Multiple of 72512 and 72519?

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 72512 and 72519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72512 and 72519, than apply into the LCM equation.

GCF(72512,72519) = 1
LCM(72512,72519) = ( 72512 × 72519) / 1
LCM(72512,72519) = 5258497728 / 1
LCM(72512,72519) = 5258497728

Least Common Multiple (LCM) of 72512 and 72519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72512 and 72519. First we will calculate the prime factors of 72512 and 72519.

Prime Factorization of 72512

Prime Factorization of 72519

Now multiplying the highest exponent prime factors to calculate the LCM of 72512 and 72519.

LCM(72512,72519) = 2⁶ × 11¹ × 103¹ × 3¹ × 23¹ × 1051¹
LCM(72512,72519) = 5258497728