What is the Least Common Multiple of 23774 and 23790?

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 23774 and 23790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23774 and 23790, than apply into the LCM equation.

GCF(23774,23790) = 2
LCM(23774,23790) = ( 23774 × 23790) / 2
LCM(23774,23790) = 565583460 / 2
LCM(23774,23790) = 282791730

Least Common Multiple (LCM) of 23774 and 23790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23774 and 23790. First we will calculate the prime factors of 23774 and 23790.

Prime Factorization of 23774

Prime Factorization of 23790

Now multiplying the highest exponent prime factors to calculate the LCM of 23774 and 23790.

LCM(23774,23790) = 2¹ × 11887¹ × 3¹ × 5¹ × 13¹ × 61¹
LCM(23774,23790) = 282791730