What is the Least Common Multiple of 23138 and 23144?

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 23138 and 23144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23138 and 23144, than apply into the LCM equation.

GCF(23138,23144) = 2
LCM(23138,23144) = ( 23138 × 23144) / 2
LCM(23138,23144) = 535505872 / 2
LCM(23138,23144) = 267752936

Least Common Multiple (LCM) of 23138 and 23144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23138 and 23144. First we will calculate the prime factors of 23138 and 23144.

Prime Factorization of 23138

Prime Factorization of 23144

Now multiplying the highest exponent prime factors to calculate the LCM of 23138 and 23144.

LCM(23138,23144) = 2³ × 23¹ × 503¹ × 11¹ × 263¹
LCM(23138,23144) = 267752936