What is the Least Common Multiple of 72357 and 72371?

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 72357 and 72371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72357 and 72371, than apply into the LCM equation.

GCF(72357,72371) = 1
LCM(72357,72371) = ( 72357 × 72371) / 1
LCM(72357,72371) = 5236548447 / 1
LCM(72357,72371) = 5236548447

Least Common Multiple (LCM) of 72357 and 72371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72357 and 72371. First we will calculate the prime factors of 72357 and 72371.

Prime Factorization of 72357

Prime Factorization of 72371

Now multiplying the highest exponent prime factors to calculate the LCM of 72357 and 72371.

LCM(72357,72371) = 3¹ × 89¹ × 271¹ × 13¹ × 19¹ × 293¹
LCM(72357,72371) = 5236548447