What is the Least Common Multiple of 23745 and 23762?

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 23762 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 23762, than apply into the LCM equation.

GCF(23745,23762) = 1
LCM(23745,23762) = ( 23745 × 23762) / 1
LCM(23745,23762) = 564228690 / 1
LCM(23745,23762) = 564228690

Least Common Multiple (LCM) of 23745 and 23762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23745 and 23762. First we will calculate the prime factors of 23745 and 23762.

Prime Factorization of 23745

Prime Factorization of 23762

Now multiplying the highest exponent prime factors to calculate the LCM of 23745 and 23762.

LCM(23745,23762) = 3¹ × 5¹ × 1583¹ × 2¹ × 109²
LCM(23745,23762) = 564228690