What is the Least Common Multiple of 23352 and 23356?

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 23352 and 23356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23352 and 23356, than apply into the LCM equation.

GCF(23352,23356) = 4
LCM(23352,23356) = ( 23352 × 23356) / 4
LCM(23352,23356) = 545409312 / 4
LCM(23352,23356) = 136352328

Least Common Multiple (LCM) of 23352 and 23356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23352 and 23356. First we will calculate the prime factors of 23352 and 23356.

Prime Factorization of 23352

Prime Factorization of 23356

Now multiplying the highest exponent prime factors to calculate the LCM of 23352 and 23356.

LCM(23352,23356) = 2³ × 3¹ × 7¹ × 139¹ × 5839¹
LCM(23352,23356) = 136352328