What is the Least Common Multiple of 62124 and 62144?

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 62124 and 62144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62124 and 62144, than apply into the LCM equation.

GCF(62124,62144) = 4
LCM(62124,62144) = ( 62124 × 62144) / 4
LCM(62124,62144) = 3860633856 / 4
LCM(62124,62144) = 965158464

Least Common Multiple (LCM) of 62124 and 62144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62124 and 62144. First we will calculate the prime factors of 62124 and 62144.

Prime Factorization of 62124

Prime Factorization of 62144

Now multiplying the highest exponent prime factors to calculate the LCM of 62124 and 62144.

LCM(62124,62144) = 2⁶ × 3¹ × 31¹ × 167¹ × 971¹
LCM(62124,62144) = 965158464