What is the Least Common Multiple of 23878 and 23894?

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 23878 and 23894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23878 and 23894, than apply into the LCM equation.

GCF(23878,23894) = 2
LCM(23878,23894) = ( 23878 × 23894) / 2
LCM(23878,23894) = 570540932 / 2
LCM(23878,23894) = 285270466

Least Common Multiple (LCM) of 23878 and 23894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23878 and 23894. First we will calculate the prime factors of 23878 and 23894.

Prime Factorization of 23878

Prime Factorization of 23894

Now multiplying the highest exponent prime factors to calculate the LCM of 23878 and 23894.

LCM(23878,23894) = 2¹ × 11939¹ × 13¹ × 919¹
LCM(23878,23894) = 285270466