What is the Least Common Multiple of 96825 and 96842?

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 96825 and 96842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96825 and 96842, than apply into the LCM equation.

GCF(96825,96842) = 1
LCM(96825,96842) = ( 96825 × 96842) / 1
LCM(96825,96842) = 9376726650 / 1
LCM(96825,96842) = 9376726650

Least Common Multiple (LCM) of 96825 and 96842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96825 and 96842. First we will calculate the prime factors of 96825 and 96842.

Prime Factorization of 96825

Prime Factorization of 96842

Now multiplying the highest exponent prime factors to calculate the LCM of 96825 and 96842.

LCM(96825,96842) = 3¹ × 5² × 1291¹ × 2¹ × 41¹ × 1181¹
LCM(96825,96842) = 9376726650