What is the Least Common Multiple of 7938 and 7952?

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 7938 and 7952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7938 and 7952, than apply into the LCM equation.

GCF(7938,7952) = 14
LCM(7938,7952) = ( 7938 × 7952) / 14
LCM(7938,7952) = 63122976 / 14
LCM(7938,7952) = 4508784

Least Common Multiple (LCM) of 7938 and 7952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7938 and 7952. First we will calculate the prime factors of 7938 and 7952.

Prime Factorization of 7938

Prime Factorization of 7952

Now multiplying the highest exponent prime factors to calculate the LCM of 7938 and 7952.

LCM(7938,7952) = 2⁴ × 3⁴ × 7² × 71¹
LCM(7938,7952) = 4508784