What is the Least Common Multiple of 62943 and 62952?

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 62943 and 62952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62943 and 62952, than apply into the LCM equation.

GCF(62943,62952) = 3
LCM(62943,62952) = ( 62943 × 62952) / 3
LCM(62943,62952) = 3962387736 / 3
LCM(62943,62952) = 1320795912

Least Common Multiple (LCM) of 62943 and 62952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62943 and 62952. First we will calculate the prime factors of 62943 and 62952.

Prime Factorization of 62943

Prime Factorization of 62952

Now multiplying the highest exponent prime factors to calculate the LCM of 62943 and 62952.

LCM(62943,62952) = 3¹ × 20981¹ × 2³ × 43¹ × 61¹
LCM(62943,62952) = 1320795912