What is the Least Common Multiple of 23840 and 23852?

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 23840 and 23852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23840 and 23852, than apply into the LCM equation.

GCF(23840,23852) = 4
LCM(23840,23852) = ( 23840 × 23852) / 4
LCM(23840,23852) = 568631680 / 4
LCM(23840,23852) = 142157920

Least Common Multiple (LCM) of 23840 and 23852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23840 and 23852. First we will calculate the prime factors of 23840 and 23852.

Prime Factorization of 23840

Prime Factorization of 23852

Now multiplying the highest exponent prime factors to calculate the LCM of 23840 and 23852.

LCM(23840,23852) = 2⁵ × 5¹ × 149¹ × 67¹ × 89¹
LCM(23840,23852) = 142157920