What is the Least Common Multiple of 9852 and 9862?

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 9852 and 9862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9852 and 9862, than apply into the LCM equation.

GCF(9852,9862) = 2
LCM(9852,9862) = ( 9852 × 9862) / 2
LCM(9852,9862) = 97160424 / 2
LCM(9852,9862) = 48580212

Least Common Multiple (LCM) of 9852 and 9862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9852 and 9862. First we will calculate the prime factors of 9852 and 9862.

Prime Factorization of 9852

Prime Factorization of 9862

Now multiplying the highest exponent prime factors to calculate the LCM of 9852 and 9862.

LCM(9852,9862) = 2² × 3¹ × 821¹ × 4931¹
LCM(9852,9862) = 48580212