What is the Least Common Multiple of 23640 and 23657?

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 23640 and 23657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23640 and 23657, than apply into the LCM equation.

GCF(23640,23657) = 1
LCM(23640,23657) = ( 23640 × 23657) / 1
LCM(23640,23657) = 559251480 / 1
LCM(23640,23657) = 559251480

Least Common Multiple (LCM) of 23640 and 23657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23640 and 23657. First we will calculate the prime factors of 23640 and 23657.

Prime Factorization of 23640

Prime Factorization of 23657

Now multiplying the highest exponent prime factors to calculate the LCM of 23640 and 23657.

LCM(23640,23657) = 2³ × 3¹ × 5¹ × 197¹ × 41¹ × 577¹
LCM(23640,23657) = 559251480