What is the Least Common Multiple of 23675 and 23690?

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 23675 and 23690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23675 and 23690, than apply into the LCM equation.

GCF(23675,23690) = 5
LCM(23675,23690) = ( 23675 × 23690) / 5
LCM(23675,23690) = 560860750 / 5
LCM(23675,23690) = 112172150

Least Common Multiple (LCM) of 23675 and 23690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23675 and 23690. First we will calculate the prime factors of 23675 and 23690.

Prime Factorization of 23675

Prime Factorization of 23690

Now multiplying the highest exponent prime factors to calculate the LCM of 23675 and 23690.

LCM(23675,23690) = 5² × 947¹ × 2¹ × 23¹ × 103¹
LCM(23675,23690) = 112172150