What is the Least Common Multiple of 23598 and 23607?

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 23598 and 23607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23598 and 23607, than apply into the LCM equation.

GCF(23598,23607) = 9
LCM(23598,23607) = ( 23598 × 23607) / 9
LCM(23598,23607) = 557077986 / 9
LCM(23598,23607) = 61897554

Least Common Multiple (LCM) of 23598 and 23607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23598 and 23607. First we will calculate the prime factors of 23598 and 23607.

Prime Factorization of 23598

Prime Factorization of 23607

Now multiplying the highest exponent prime factors to calculate the LCM of 23598 and 23607.

LCM(23598,23607) = 2¹ × 3³ × 19¹ × 23¹ × 43¹ × 61¹
LCM(23598,23607) = 61897554