What is the Least Common Multiple of 23239 and 23251?

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 23239 and 23251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23239 and 23251, than apply into the LCM equation.

GCF(23239,23251) = 1
LCM(23239,23251) = ( 23239 × 23251) / 1
LCM(23239,23251) = 540329989 / 1
LCM(23239,23251) = 540329989

Least Common Multiple (LCM) of 23239 and 23251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23239 and 23251. First we will calculate the prime factors of 23239 and 23251.

Prime Factorization of 23239

Prime Factorization of 23251

Now multiplying the highest exponent prime factors to calculate the LCM of 23239 and 23251.

LCM(23239,23251) = 17¹ × 1367¹ × 23251¹
LCM(23239,23251) = 540329989