What is the Least Common Multiple of 23870 and 23888?

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 23888 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 23888, than apply into the LCM equation.

GCF(23870,23888) = 2
LCM(23870,23888) = ( 23870 × 23888) / 2
LCM(23870,23888) = 570206560 / 2
LCM(23870,23888) = 285103280

Least Common Multiple (LCM) of 23870 and 23888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23870 and 23888. First we will calculate the prime factors of 23870 and 23888.

Prime Factorization of 23870

Prime Factorization of 23888

Now multiplying the highest exponent prime factors to calculate the LCM of 23870 and 23888.

LCM(23870,23888) = 2⁴ × 5¹ × 7¹ × 11¹ × 31¹ × 1493¹
LCM(23870,23888) = 285103280