What is the Least Common Multiple of 23340 and 23345?

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 23340 and 23345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23340 and 23345, than apply into the LCM equation.

GCF(23340,23345) = 5
LCM(23340,23345) = ( 23340 × 23345) / 5
LCM(23340,23345) = 544872300 / 5
LCM(23340,23345) = 108974460

Least Common Multiple (LCM) of 23340 and 23345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23340 and 23345. First we will calculate the prime factors of 23340 and 23345.

Prime Factorization of 23340

Prime Factorization of 23345

Now multiplying the highest exponent prime factors to calculate the LCM of 23340 and 23345.

LCM(23340,23345) = 2² × 3¹ × 5¹ × 389¹ × 7¹ × 23¹ × 29¹
LCM(23340,23345) = 108974460