What is the Least Common Multiple of 62472 and 62484?

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 62472 and 62484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62472 and 62484, than apply into the LCM equation.

GCF(62472,62484) = 12
LCM(62472,62484) = ( 62472 × 62484) / 12
LCM(62472,62484) = 3903500448 / 12
LCM(62472,62484) = 325291704

Least Common Multiple (LCM) of 62472 and 62484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62472 and 62484. First we will calculate the prime factors of 62472 and 62484.

Prime Factorization of 62472

Prime Factorization of 62484

Now multiplying the highest exponent prime factors to calculate the LCM of 62472 and 62484.

LCM(62472,62484) = 2³ × 3¹ × 19¹ × 137¹ × 41¹ × 127¹
LCM(62472,62484) = 325291704