What is the Least Common Multiple of 23790 and 23796?

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 23790 and 23796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23790 and 23796, than apply into the LCM equation.

GCF(23790,23796) = 6
LCM(23790,23796) = ( 23790 × 23796) / 6
LCM(23790,23796) = 566106840 / 6
LCM(23790,23796) = 94351140

Least Common Multiple (LCM) of 23790 and 23796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23790 and 23796. First we will calculate the prime factors of 23790 and 23796.

Prime Factorization of 23790

Prime Factorization of 23796

Now multiplying the highest exponent prime factors to calculate the LCM of 23790 and 23796.

LCM(23790,23796) = 2² × 3² × 5¹ × 13¹ × 61¹ × 661¹
LCM(23790,23796) = 94351140