What is the Least Common Multiple of 76659 and 76668?

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 76668 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 76668, than apply into the LCM equation.

GCF(76659,76668) = 3
LCM(76659,76668) = ( 76659 × 76668) / 3
LCM(76659,76668) = 5877292212 / 3
LCM(76659,76668) = 1959097404

Least Common Multiple (LCM) of 76659 and 76668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76659 and 76668. First we will calculate the prime factors of 76659 and 76668.

Prime Factorization of 76659

Prime Factorization of 76668

Now multiplying the highest exponent prime factors to calculate the LCM of 76659 and 76668.

LCM(76659,76668) = 3¹ × 11¹ × 23¹ × 101¹ × 2² × 6389¹
LCM(76659,76668) = 1959097404