What is the Least Common Multiple of 72152 and 72166?

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 72152 and 72166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72152 and 72166, than apply into the LCM equation.

GCF(72152,72166) = 2
LCM(72152,72166) = ( 72152 × 72166) / 2
LCM(72152,72166) = 5206921232 / 2
LCM(72152,72166) = 2603460616

Least Common Multiple (LCM) of 72152 and 72166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72152 and 72166. First we will calculate the prime factors of 72152 and 72166.

Prime Factorization of 72152

Prime Factorization of 72166

Now multiplying the highest exponent prime factors to calculate the LCM of 72152 and 72166.

LCM(72152,72166) = 2³ × 29¹ × 311¹ × 36083¹
LCM(72152,72166) = 2603460616