What is the Least Common Multiple of 62944 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 62944 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 62944 and 62952, than apply into the LCM equation.

GCF(62944,62952) = 8
LCM(62944,62952) = ( 62944 × 62952) / 8
LCM(62944,62952) = 3962450688 / 8
LCM(62944,62952) = 495306336

Least Common Multiple (LCM) of 62944 and 62952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62944 and 62952. First we will calculate the prime factors of 62944 and 62952.

Prime Factorization of 62944

Prime Factorization of 62952

Now multiplying the highest exponent prime factors to calculate the LCM of 62944 and 62952.

LCM(62944,62952) = 2⁵ × 7¹ × 281¹ × 3¹ × 43¹ × 61¹
LCM(62944,62952) = 495306336