What is the Least Common Multiple of 92952 and 92958?

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 92952 and 92958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92952 and 92958, than apply into the LCM equation.

GCF(92952,92958) = 6
LCM(92952,92958) = ( 92952 × 92958) / 6
LCM(92952,92958) = 8640632016 / 6
LCM(92952,92958) = 1440105336

Least Common Multiple (LCM) of 92952 and 92958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92952 and 92958. First we will calculate the prime factors of 92952 and 92958.

Prime Factorization of 92952

Prime Factorization of 92958

Now multiplying the highest exponent prime factors to calculate the LCM of 92952 and 92958.

LCM(92952,92958) = 2³ × 3² × 1291¹ × 15493¹
LCM(92952,92958) = 1440105336