What is the Least Common Multiple of 23765 and 23775?

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 23765 and 23775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23765 and 23775, than apply into the LCM equation.

GCF(23765,23775) = 5
LCM(23765,23775) = ( 23765 × 23775) / 5
LCM(23765,23775) = 565012875 / 5
LCM(23765,23775) = 113002575

Least Common Multiple (LCM) of 23765 and 23775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23765 and 23775. First we will calculate the prime factors of 23765 and 23775.

Prime Factorization of 23765

Prime Factorization of 23775

Now multiplying the highest exponent prime factors to calculate the LCM of 23765 and 23775.

LCM(23765,23775) = 5² × 7² × 97¹ × 3¹ × 317¹
LCM(23765,23775) = 113002575