What is the Least Common Multiple of 23646 and 23660?

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 23646 and 23660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23646 and 23660, than apply into the LCM equation.

GCF(23646,23660) = 14
LCM(23646,23660) = ( 23646 × 23660) / 14
LCM(23646,23660) = 559464360 / 14
LCM(23646,23660) = 39961740

Least Common Multiple (LCM) of 23646 and 23660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23646 and 23660. First we will calculate the prime factors of 23646 and 23660.

Prime Factorization of 23646

Prime Factorization of 23660

Now multiplying the highest exponent prime factors to calculate the LCM of 23646 and 23660.

LCM(23646,23660) = 2² × 3¹ × 7¹ × 563¹ × 5¹ × 13²
LCM(23646,23660) = 39961740