What is the Least Common Multiple of 72146 and 72152?

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 72146 and 72152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72146 and 72152, than apply into the LCM equation.

GCF(72146,72152) = 2
LCM(72146,72152) = ( 72146 × 72152) / 2
LCM(72146,72152) = 5205478192 / 2
LCM(72146,72152) = 2602739096

Least Common Multiple (LCM) of 72146 and 72152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72146 and 72152. First we will calculate the prime factors of 72146 and 72152.

Prime Factorization of 72146

Prime Factorization of 72152

Now multiplying the highest exponent prime factors to calculate the LCM of 72146 and 72152.

LCM(72146,72152) = 2³ × 36073¹ × 29¹ × 311¹
LCM(72146,72152) = 2602739096