What is the Least Common Multiple of 34659 and 34674?

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 34659 and 34674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34659 and 34674, than apply into the LCM equation.

GCF(34659,34674) = 3
LCM(34659,34674) = ( 34659 × 34674) / 3
LCM(34659,34674) = 1201766166 / 3
LCM(34659,34674) = 400588722

Least Common Multiple (LCM) of 34659 and 34674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34659 and 34674. First we will calculate the prime factors of 34659 and 34674.

Prime Factorization of 34659

Prime Factorization of 34674

Now multiplying the highest exponent prime factors to calculate the LCM of 34659 and 34674.

LCM(34659,34674) = 3² × 3851¹ × 2¹ × 5779¹
LCM(34659,34674) = 400588722