What is the Least Common Multiple of 97944 and 97952?

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 97944 and 97952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97944 and 97952, than apply into the LCM equation.

GCF(97944,97952) = 8
LCM(97944,97952) = ( 97944 × 97952) / 8
LCM(97944,97952) = 9593810688 / 8
LCM(97944,97952) = 1199226336

Least Common Multiple (LCM) of 97944 and 97952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97944 and 97952. First we will calculate the prime factors of 97944 and 97952.

Prime Factorization of 97944

Prime Factorization of 97952

Now multiplying the highest exponent prime factors to calculate the LCM of 97944 and 97952.

LCM(97944,97952) = 2⁵ × 3¹ × 7¹ × 11¹ × 53¹ × 3061¹
LCM(97944,97952) = 1199226336