What is the Least Common Multiple of 93952 and 93969?

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 93952 and 93969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93952 and 93969, than apply into the LCM equation.

GCF(93952,93969) = 1
LCM(93952,93969) = ( 93952 × 93969) / 1
LCM(93952,93969) = 8828575488 / 1
LCM(93952,93969) = 8828575488

Least Common Multiple (LCM) of 93952 and 93969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93952 and 93969. First we will calculate the prime factors of 93952 and 93969.

Prime Factorization of 93952

Prime Factorization of 93969

Now multiplying the highest exponent prime factors to calculate the LCM of 93952 and 93969.

LCM(93952,93969) = 2⁸ × 367¹ × 3² × 53¹ × 197¹
LCM(93952,93969) = 8828575488