What is the Least Common Multiple of 93946 and 93952?

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 93946 and 93952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93946 and 93952, than apply into the LCM equation.

GCF(93946,93952) = 2
LCM(93946,93952) = ( 93946 × 93952) / 2
LCM(93946,93952) = 8826414592 / 2
LCM(93946,93952) = 4413207296

Least Common Multiple (LCM) of 93946 and 93952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93946 and 93952. First we will calculate the prime factors of 93946 and 93952.

Prime Factorization of 93946

Prime Factorization of 93952

Now multiplying the highest exponent prime factors to calculate the LCM of 93946 and 93952.

LCM(93946,93952) = 2⁸ × 107¹ × 439¹ × 367¹
LCM(93946,93952) = 4413207296