What is the Least Common Multiple of 79659 and 79677?

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 79659 and 79677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79659 and 79677, than apply into the LCM equation.

GCF(79659,79677) = 9
LCM(79659,79677) = ( 79659 × 79677) / 9
LCM(79659,79677) = 6346990143 / 9
LCM(79659,79677) = 705221127

Least Common Multiple (LCM) of 79659 and 79677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79659 and 79677. First we will calculate the prime factors of 79659 and 79677.

Prime Factorization of 79659

Prime Factorization of 79677

Now multiplying the highest exponent prime factors to calculate the LCM of 79659 and 79677.

LCM(79659,79677) = 3³ × 53¹ × 167¹ × 13¹ × 227¹
LCM(79659,79677) = 705221127