What is the Least Common Multiple of 23852 and 23871?

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 23852 and 23871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23852 and 23871, than apply into the LCM equation.

GCF(23852,23871) = 1
LCM(23852,23871) = ( 23852 × 23871) / 1
LCM(23852,23871) = 569371092 / 1
LCM(23852,23871) = 569371092

Least Common Multiple (LCM) of 23852 and 23871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23852 and 23871. First we will calculate the prime factors of 23852 and 23871.

Prime Factorization of 23852

Prime Factorization of 23871

Now multiplying the highest exponent prime factors to calculate the LCM of 23852 and 23871.

LCM(23852,23871) = 2² × 67¹ × 89¹ × 3¹ × 73¹ × 109¹
LCM(23852,23871) = 569371092