What is the Least Common Multiple of 23588 and 23598?

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 23588 and 23598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23588 and 23598, than apply into the LCM equation.

GCF(23588,23598) = 2
LCM(23588,23598) = ( 23588 × 23598) / 2
LCM(23588,23598) = 556629624 / 2
LCM(23588,23598) = 278314812

Least Common Multiple (LCM) of 23588 and 23598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23588 and 23598. First we will calculate the prime factors of 23588 and 23598.

Prime Factorization of 23588

Prime Factorization of 23598

Now multiplying the highest exponent prime factors to calculate the LCM of 23588 and 23598.

LCM(23588,23598) = 2² × 5897¹ × 3³ × 19¹ × 23¹
LCM(23588,23598) = 278314812