What is the Least Common Multiple of 72157 and 72174?

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 72157 and 72174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72157 and 72174, than apply into the LCM equation.

GCF(72157,72174) = 1
LCM(72157,72174) = ( 72157 × 72174) / 1
LCM(72157,72174) = 5207859318 / 1
LCM(72157,72174) = 5207859318

Least Common Multiple (LCM) of 72157 and 72174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72157 and 72174. First we will calculate the prime factors of 72157 and 72174.

Prime Factorization of 72157

Prime Factorization of 72174

Now multiplying the highest exponent prime factors to calculate the LCM of 72157 and 72174.

LCM(72157,72174) = 59¹ × 1223¹ × 2¹ × 3¹ × 23¹ × 523¹
LCM(72157,72174) = 5207859318