What is the Least Common Multiple of 72159 and 72176?

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 72159 and 72176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72159 and 72176, than apply into the LCM equation.

GCF(72159,72176) = 1
LCM(72159,72176) = ( 72159 × 72176) / 1
LCM(72159,72176) = 5208147984 / 1
LCM(72159,72176) = 5208147984

Least Common Multiple (LCM) of 72159 and 72176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72159 and 72176. First we will calculate the prime factors of 72159 and 72176.

Prime Factorization of 72159

Prime Factorization of 72176

Now multiplying the highest exponent prime factors to calculate the LCM of 72159 and 72176.

LCM(72159,72176) = 3¹ × 67¹ × 359¹ × 2⁴ × 13¹ × 347¹
LCM(72159,72176) = 5208147984