What is the Least Common Multiple of 66339 and 66357?

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 66339 and 66357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66339 and 66357, than apply into the LCM equation.

GCF(66339,66357) = 9
LCM(66339,66357) = ( 66339 × 66357) / 9
LCM(66339,66357) = 4402057023 / 9
LCM(66339,66357) = 489117447

Least Common Multiple (LCM) of 66339 and 66357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66339 and 66357. First we will calculate the prime factors of 66339 and 66357.

Prime Factorization of 66339

Prime Factorization of 66357

Now multiplying the highest exponent prime factors to calculate the LCM of 66339 and 66357.

LCM(66339,66357) = 3⁶ × 7¹ × 13¹ × 73¹ × 101¹
LCM(66339,66357) = 489117447