What is the Least Common Multiple of 96852 and 96859?

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 96852 and 96859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96852 and 96859, than apply into the LCM equation.

GCF(96852,96859) = 7
LCM(96852,96859) = ( 96852 × 96859) / 7
LCM(96852,96859) = 9380987868 / 7
LCM(96852,96859) = 1340141124

Least Common Multiple (LCM) of 96852 and 96859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96852 and 96859. First we will calculate the prime factors of 96852 and 96859.

Prime Factorization of 96852

Prime Factorization of 96859

Now multiplying the highest exponent prime factors to calculate the LCM of 96852 and 96859.

LCM(96852,96859) = 2² × 3¹ × 7¹ × 1153¹ × 101¹ × 137¹
LCM(96852,96859) = 1340141124