What is the Least Common Multiple of 72519 and 72528?

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 72519 and 72528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72519 and 72528, than apply into the LCM equation.

GCF(72519,72528) = 3
LCM(72519,72528) = ( 72519 × 72528) / 3
LCM(72519,72528) = 5259658032 / 3
LCM(72519,72528) = 1753219344

Least Common Multiple (LCM) of 72519 and 72528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72519 and 72528. First we will calculate the prime factors of 72519 and 72528.

Prime Factorization of 72519

Prime Factorization of 72528

Now multiplying the highest exponent prime factors to calculate the LCM of 72519 and 72528.

LCM(72519,72528) = 3¹ × 23¹ × 1051¹ × 2⁴ × 1511¹
LCM(72519,72528) = 1753219344