What is the Least Common Multiple of 66657 and 66676?

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 66657 and 66676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66657 and 66676, than apply into the LCM equation.

GCF(66657,66676) = 1
LCM(66657,66676) = ( 66657 × 66676) / 1
LCM(66657,66676) = 4444422132 / 1
LCM(66657,66676) = 4444422132

Least Common Multiple (LCM) of 66657 and 66676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66657 and 66676. First we will calculate the prime factors of 66657 and 66676.

Prime Factorization of 66657

Prime Factorization of 66676

Now multiplying the highest exponent prime factors to calculate the LCM of 66657 and 66676.

LCM(66657,66676) = 3¹ × 17¹ × 1307¹ × 2² × 79¹ × 211¹
LCM(66657,66676) = 4444422132