What is the Least Common Multiple of 4650 and 4658?

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 4650 and 4658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4650 and 4658, than apply into the LCM equation.

GCF(4650,4658) = 2
LCM(4650,4658) = ( 4650 × 4658) / 2
LCM(4650,4658) = 21659700 / 2
LCM(4650,4658) = 10829850

Least Common Multiple (LCM) of 4650 and 4658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4650 and 4658. First we will calculate the prime factors of 4650 and 4658.

Prime Factorization of 4650

Prime Factorization of 4658

Now multiplying the highest exponent prime factors to calculate the LCM of 4650 and 4658.

LCM(4650,4658) = 2¹ × 3¹ × 5² × 31¹ × 17¹ × 137¹
LCM(4650,4658) = 10829850