What is the Least Common Multiple of 23745 and 23765?

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 23745 and 23765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23745 and 23765, than apply into the LCM equation.

GCF(23745,23765) = 5
LCM(23745,23765) = ( 23745 × 23765) / 5
LCM(23745,23765) = 564299925 / 5
LCM(23745,23765) = 112859985

Least Common Multiple (LCM) of 23745 and 23765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23745 and 23765. First we will calculate the prime factors of 23745 and 23765.

Prime Factorization of 23745

Prime Factorization of 23765

Now multiplying the highest exponent prime factors to calculate the LCM of 23745 and 23765.

LCM(23745,23765) = 3¹ × 5¹ × 1583¹ × 7² × 97¹
LCM(23745,23765) = 112859985