What is the Least Common Multiple of 22359 and 22374?

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 22359 and 22374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22359 and 22374, than apply into the LCM equation.

GCF(22359,22374) = 3
LCM(22359,22374) = ( 22359 × 22374) / 3
LCM(22359,22374) = 500260266 / 3
LCM(22359,22374) = 166753422

Least Common Multiple (LCM) of 22359 and 22374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22359 and 22374. First we will calculate the prime factors of 22359 and 22374.

Prime Factorization of 22359

Prime Factorization of 22374

Now multiplying the highest exponent prime factors to calculate the LCM of 22359 and 22374.

LCM(22359,22374) = 3² × 29¹ × 257¹ × 2¹ × 11¹ × 113¹
LCM(22359,22374) = 166753422