What is the Least Common Multiple of 95012 and 95032?

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 95012 and 95032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95012 and 95032, than apply into the LCM equation.

GCF(95012,95032) = 4
LCM(95012,95032) = ( 95012 × 95032) / 4
LCM(95012,95032) = 9029180384 / 4
LCM(95012,95032) = 2257295096

Least Common Multiple (LCM) of 95012 and 95032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95012 and 95032. First we will calculate the prime factors of 95012 and 95032.

Prime Factorization of 95012

Prime Factorization of 95032

Now multiplying the highest exponent prime factors to calculate the LCM of 95012 and 95032.

LCM(95012,95032) = 2³ × 23753¹ × 7¹ × 1697¹
LCM(95012,95032) = 2257295096