What is the Least Common Multiple of 66729 and 66744?

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 66729 and 66744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66729 and 66744, than apply into the LCM equation.

GCF(66729,66744) = 3
LCM(66729,66744) = ( 66729 × 66744) / 3
LCM(66729,66744) = 4453760376 / 3
LCM(66729,66744) = 1484586792

Least Common Multiple (LCM) of 66729 and 66744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66729 and 66744. First we will calculate the prime factors of 66729 and 66744.

Prime Factorization of 66729

Prime Factorization of 66744

Now multiplying the highest exponent prime factors to calculate the LCM of 66729 and 66744.

LCM(66729,66744) = 3⁴ × 13¹ × 29¹ × 59¹ × 2³ × 103¹
LCM(66729,66744) = 1484586792