What is the Least Common Multiple of 23775 and 23795?

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 23775 and 23795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23775 and 23795, than apply into the LCM equation.

GCF(23775,23795) = 5
LCM(23775,23795) = ( 23775 × 23795) / 5
LCM(23775,23795) = 565726125 / 5
LCM(23775,23795) = 113145225

Least Common Multiple (LCM) of 23775 and 23795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23775 and 23795. First we will calculate the prime factors of 23775 and 23795.

Prime Factorization of 23775

Prime Factorization of 23795

Now multiplying the highest exponent prime factors to calculate the LCM of 23775 and 23795.

LCM(23775,23795) = 3¹ × 5² × 317¹ × 4759¹
LCM(23775,23795) = 113145225