What is the Least Common Multiple of 66651 and 66664?

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 66651 and 66664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66651 and 66664, than apply into the LCM equation.

GCF(66651,66664) = 13
LCM(66651,66664) = ( 66651 × 66664) / 13
LCM(66651,66664) = 4443222264 / 13
LCM(66651,66664) = 341786328

Least Common Multiple (LCM) of 66651 and 66664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66651 and 66664. First we will calculate the prime factors of 66651 and 66664.

Prime Factorization of 66651

Prime Factorization of 66664

Now multiplying the highest exponent prime factors to calculate the LCM of 66651 and 66664.

LCM(66651,66664) = 3¹ × 13¹ × 1709¹ × 2³ × 641¹
LCM(66651,66664) = 341786328