What is the Least Common Multiple of 4596 and 4611?

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 4611 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 4611, than apply into the LCM equation.

GCF(4596,4611) = 3
LCM(4596,4611) = ( 4596 × 4611) / 3
LCM(4596,4611) = 21192156 / 3
LCM(4596,4611) = 7064052

Least Common Multiple (LCM) of 4596 and 4611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4596 and 4611. First we will calculate the prime factors of 4596 and 4611.

Prime Factorization of 4596

Prime Factorization of 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 4596 and 4611.

LCM(4596,4611) = 2² × 3¹ × 383¹ × 29¹ × 53¹
LCM(4596,4611) = 7064052