What is the Least Common Multiple of 23870 and 23881?

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 23870 and 23881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23870 and 23881, than apply into the LCM equation.

GCF(23870,23881) = 11
LCM(23870,23881) = ( 23870 × 23881) / 11
LCM(23870,23881) = 570039470 / 11
LCM(23870,23881) = 51821770

Least Common Multiple (LCM) of 23870 and 23881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23870 and 23881. First we will calculate the prime factors of 23870 and 23881.

Prime Factorization of 23870

Prime Factorization of 23881

Now multiplying the highest exponent prime factors to calculate the LCM of 23870 and 23881.

LCM(23870,23881) = 2¹ × 5¹ × 7¹ × 11¹ × 31¹ × 13¹ × 167¹
LCM(23870,23881) = 51821770