What is the Least Common Multiple of 34650 and 34657?

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 34650 and 34657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34650 and 34657, than apply into the LCM equation.

GCF(34650,34657) = 7
LCM(34650,34657) = ( 34650 × 34657) / 7
LCM(34650,34657) = 1200865050 / 7
LCM(34650,34657) = 171552150

Least Common Multiple (LCM) of 34650 and 34657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34650 and 34657. First we will calculate the prime factors of 34650 and 34657.

Prime Factorization of 34650

Prime Factorization of 34657

Now multiplying the highest exponent prime factors to calculate the LCM of 34650 and 34657.

LCM(34650,34657) = 2¹ × 3² × 5² × 7¹ × 11¹ × 4951¹
LCM(34650,34657) = 171552150