What is the Least Common Multiple of 23608 and 23621?

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 23608 and 23621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23608 and 23621, than apply into the LCM equation.

GCF(23608,23621) = 13
LCM(23608,23621) = ( 23608 × 23621) / 13
LCM(23608,23621) = 557644568 / 13
LCM(23608,23621) = 42895736

Least Common Multiple (LCM) of 23608 and 23621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23608 and 23621. First we will calculate the prime factors of 23608 and 23621.

Prime Factorization of 23608

Prime Factorization of 23621

Now multiplying the highest exponent prime factors to calculate the LCM of 23608 and 23621.

LCM(23608,23621) = 2³ × 13¹ × 227¹ × 23¹ × 79¹
LCM(23608,23621) = 42895736