What is the Least Common Multiple of 72353 and 72357?

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 72353 and 72357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72353 and 72357, than apply into the LCM equation.

GCF(72353,72357) = 1
LCM(72353,72357) = ( 72353 × 72357) / 1
LCM(72353,72357) = 5235246021 / 1
LCM(72353,72357) = 5235246021

Least Common Multiple (LCM) of 72353 and 72357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72353 and 72357. First we will calculate the prime factors of 72353 and 72357.

Prime Factorization of 72353

Prime Factorization of 72357

Now multiplying the highest exponent prime factors to calculate the LCM of 72353 and 72357.

LCM(72353,72357) = 72353¹ × 3¹ × 89¹ × 271¹
LCM(72353,72357) = 5235246021