What is the Least Common Multiple of 66459 and 66477?

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 66459 and 66477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66459 and 66477, than apply into the LCM equation.

GCF(66459,66477) = 3
LCM(66459,66477) = ( 66459 × 66477) / 3
LCM(66459,66477) = 4417994943 / 3
LCM(66459,66477) = 1472664981

Least Common Multiple (LCM) of 66459 and 66477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66459 and 66477. First we will calculate the prime factors of 66459 and 66477.

Prime Factorization of 66459

Prime Factorization of 66477

Now multiplying the highest exponent prime factors to calculate the LCM of 66459 and 66477.

LCM(66459,66477) = 3¹ × 22153¹ × 22159¹
LCM(66459,66477) = 1472664981