What is the Least Common Multiple of 23594 and 23611?

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 23594 and 23611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23594 and 23611, than apply into the LCM equation.

GCF(23594,23611) = 1
LCM(23594,23611) = ( 23594 × 23611) / 1
LCM(23594,23611) = 557077934 / 1
LCM(23594,23611) = 557077934

Least Common Multiple (LCM) of 23594 and 23611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23594 and 23611. First we will calculate the prime factors of 23594 and 23611.

Prime Factorization of 23594

Prime Factorization of 23611

Now multiplying the highest exponent prime factors to calculate the LCM of 23594 and 23611.

LCM(23594,23611) = 2¹ × 47¹ × 251¹ × 7¹ × 3373¹
LCM(23594,23611) = 557077934