What is the Least Common Multiple of 4596 and 4613?

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 4596 and 4613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4596 and 4613, than apply into the LCM equation.

GCF(4596,4613) = 1
LCM(4596,4613) = ( 4596 × 4613) / 1
LCM(4596,4613) = 21201348 / 1
LCM(4596,4613) = 21201348

Least Common Multiple (LCM) of 4596 and 4613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4596 and 4613. First we will calculate the prime factors of 4596 and 4613.

Prime Factorization of 4596

Prime Factorization of 4613

Now multiplying the highest exponent prime factors to calculate the LCM of 4596 and 4613.

LCM(4596,4613) = 2² × 3¹ × 383¹ × 7¹ × 659¹
LCM(4596,4613) = 21201348