What is the Least Common Multiple of 96675 and 96684?

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 96675 and 96684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96675 and 96684, than apply into the LCM equation.

GCF(96675,96684) = 3
LCM(96675,96684) = ( 96675 × 96684) / 3
LCM(96675,96684) = 9346925700 / 3
LCM(96675,96684) = 3115641900

Least Common Multiple (LCM) of 96675 and 96684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96675 and 96684. First we will calculate the prime factors of 96675 and 96684.

Prime Factorization of 96675

Prime Factorization of 96684

Now multiplying the highest exponent prime factors to calculate the LCM of 96675 and 96684.

LCM(96675,96684) = 3¹ × 5² × 1289¹ × 2² × 7¹ × 1151¹
LCM(96675,96684) = 3115641900