What is the Least Common Multiple of 23550 and 23565?

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 23550 and 23565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23550 and 23565, than apply into the LCM equation.

GCF(23550,23565) = 15
LCM(23550,23565) = ( 23550 × 23565) / 15
LCM(23550,23565) = 554955750 / 15
LCM(23550,23565) = 36997050

Least Common Multiple (LCM) of 23550 and 23565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23550 and 23565. First we will calculate the prime factors of 23550 and 23565.

Prime Factorization of 23550

Prime Factorization of 23565

Now multiplying the highest exponent prime factors to calculate the LCM of 23550 and 23565.

LCM(23550,23565) = 2¹ × 3¹ × 5² × 157¹ × 1571¹
LCM(23550,23565) = 36997050