What is the Least Common Multiple of 96825 and 96834?

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 96834 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 96834, than apply into the LCM equation.

GCF(96825,96834) = 3
LCM(96825,96834) = ( 96825 × 96834) / 3
LCM(96825,96834) = 9375952050 / 3
LCM(96825,96834) = 3125317350

Least Common Multiple (LCM) of 96825 and 96834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96825 and 96834. First we will calculate the prime factors of 96825 and 96834.

Prime Factorization of 96825

Prime Factorization of 96834

Now multiplying the highest exponent prime factors to calculate the LCM of 96825 and 96834.

LCM(96825,96834) = 3¹ × 5² × 1291¹ × 2¹ × 16139¹
LCM(96825,96834) = 3125317350