What is the Least Common Multiple of 66729 and 66739?

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 66739 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 66739, than apply into the LCM equation.

GCF(66729,66739) = 1
LCM(66729,66739) = ( 66729 × 66739) / 1
LCM(66729,66739) = 4453426731 / 1
LCM(66729,66739) = 4453426731

Least Common Multiple (LCM) of 66729 and 66739 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66729 and 66739. First we will calculate the prime factors of 66729 and 66739.

Prime Factorization of 66729

Prime Factorization of 66739

Now multiplying the highest exponent prime factors to calculate the LCM of 66729 and 66739.

LCM(66729,66739) = 3¹ × 13¹ × 29¹ × 59¹ × 66739¹
LCM(66729,66739) = 4453426731