What is the Least Common Multiple of 23099 and 23108?

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 23099 and 23108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23099 and 23108, than apply into the LCM equation.

GCF(23099,23108) = 1
LCM(23099,23108) = ( 23099 × 23108) / 1
LCM(23099,23108) = 533771692 / 1
LCM(23099,23108) = 533771692

Least Common Multiple (LCM) of 23099 and 23108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23099 and 23108. First we will calculate the prime factors of 23099 and 23108.

Prime Factorization of 23099

Prime Factorization of 23108

Now multiplying the highest exponent prime factors to calculate the LCM of 23099 and 23108.

LCM(23099,23108) = 23099¹ × 2² × 53¹ × 109¹
LCM(23099,23108) = 533771692