What is the Least Common Multiple of 72120 and 72124?

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 72120 and 72124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72120 and 72124, than apply into the LCM equation.

GCF(72120,72124) = 4
LCM(72120,72124) = ( 72120 × 72124) / 4
LCM(72120,72124) = 5201582880 / 4
LCM(72120,72124) = 1300395720

Least Common Multiple (LCM) of 72120 and 72124 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72120 and 72124. First we will calculate the prime factors of 72120 and 72124.

Prime Factorization of 72120

Prime Factorization of 72124

Now multiplying the highest exponent prime factors to calculate the LCM of 72120 and 72124.

LCM(72120,72124) = 2³ × 3¹ × 5¹ × 601¹ × 13¹ × 19¹ × 73¹
LCM(72120,72124) = 1300395720