What is the Least Common Multiple of 23856 and 23870?

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 23856 and 23870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23856 and 23870, than apply into the LCM equation.

GCF(23856,23870) = 14
LCM(23856,23870) = ( 23856 × 23870) / 14
LCM(23856,23870) = 569442720 / 14
LCM(23856,23870) = 40674480

Least Common Multiple (LCM) of 23856 and 23870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23856 and 23870. First we will calculate the prime factors of 23856 and 23870.

Prime Factorization of 23856

Prime Factorization of 23870

Now multiplying the highest exponent prime factors to calculate the LCM of 23856 and 23870.

LCM(23856,23870) = 2⁴ × 3¹ × 7¹ × 71¹ × 5¹ × 11¹ × 31¹
LCM(23856,23870) = 40674480