What is the Least Common Multiple of 93852 and 93871?

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 93852 and 93871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93852 and 93871, than apply into the LCM equation.

GCF(93852,93871) = 1
LCM(93852,93871) = ( 93852 × 93871) / 1
LCM(93852,93871) = 8809981092 / 1
LCM(93852,93871) = 8809981092

Least Common Multiple (LCM) of 93852 and 93871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93852 and 93871. First we will calculate the prime factors of 93852 and 93871.

Prime Factorization of 93852

Prime Factorization of 93871

Now multiplying the highest exponent prime factors to calculate the LCM of 93852 and 93871.

LCM(93852,93871) = 2² × 3³ × 11¹ × 79¹ × 93871¹
LCM(93852,93871) = 8809981092