What is the Least Common Multiple of 76659 and 76671?

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 76659 and 76671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76659 and 76671, than apply into the LCM equation.

GCF(76659,76671) = 3
LCM(76659,76671) = ( 76659 × 76671) / 3
LCM(76659,76671) = 5877522189 / 3
LCM(76659,76671) = 1959174063

Least Common Multiple (LCM) of 76659 and 76671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76659 and 76671. First we will calculate the prime factors of 76659 and 76671.

Prime Factorization of 76659

Prime Factorization of 76671

Now multiplying the highest exponent prime factors to calculate the LCM of 76659 and 76671.

LCM(76659,76671) = 3² × 11¹ × 23¹ × 101¹ × 7¹ × 1217¹
LCM(76659,76671) = 1959174063