What is the Least Common Multiple of 62952 and 62972?

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 62952 and 62972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62952 and 62972, than apply into the LCM equation.

GCF(62952,62972) = 4
LCM(62952,62972) = ( 62952 × 62972) / 4
LCM(62952,62972) = 3964213344 / 4
LCM(62952,62972) = 991053336

Least Common Multiple (LCM) of 62952 and 62972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62952 and 62972. First we will calculate the prime factors of 62952 and 62972.

Prime Factorization of 62952

Prime Factorization of 62972

Now multiplying the highest exponent prime factors to calculate the LCM of 62952 and 62972.

LCM(62952,62972) = 2³ × 3¹ × 43¹ × 61¹ × 7¹ × 13¹ × 173¹
LCM(62952,62972) = 991053336