What is the Least Common Multiple of 23580 and 23594?

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 23580 and 23594 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23580 and 23594, than apply into the LCM equation.

GCF(23580,23594) = 2
LCM(23580,23594) = ( 23580 × 23594) / 2
LCM(23580,23594) = 556346520 / 2
LCM(23580,23594) = 278173260

Least Common Multiple (LCM) of 23580 and 23594 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23580 and 23594. First we will calculate the prime factors of 23580 and 23594.

Prime Factorization of 23580

Prime Factorization of 23594

Now multiplying the highest exponent prime factors to calculate the LCM of 23580 and 23594.

LCM(23580,23594) = 2² × 3² × 5¹ × 131¹ × 47¹ × 251¹
LCM(23580,23594) = 278173260