What is the Least Common Multiple of 66729 and 66742?

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 66742 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 66742, than apply into the LCM equation.

GCF(66729,66742) = 13
LCM(66729,66742) = ( 66729 × 66742) / 13
LCM(66729,66742) = 4453626918 / 13
LCM(66729,66742) = 342586686

Least Common Multiple (LCM) of 66729 and 66742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66729 and 66742. First we will calculate the prime factors of 66729 and 66742.

Prime Factorization of 66729

Prime Factorization of 66742

Now multiplying the highest exponent prime factors to calculate the LCM of 66729 and 66742.

LCM(66729,66742) = 3¹ × 13¹ × 29¹ × 59¹ × 2¹ × 17¹ × 151¹
LCM(66729,66742) = 342586686