What is the Least Common Multiple of 96285 and 96300?

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 96285 and 96300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96285 and 96300, than apply into the LCM equation.

GCF(96285,96300) = 15
LCM(96285,96300) = ( 96285 × 96300) / 15
LCM(96285,96300) = 9272245500 / 15
LCM(96285,96300) = 618149700

Least Common Multiple (LCM) of 96285 and 96300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96285 and 96300. First we will calculate the prime factors of 96285 and 96300.

Prime Factorization of 96285

Prime Factorization of 96300

Now multiplying the highest exponent prime factors to calculate the LCM of 96285 and 96300.

LCM(96285,96300) = 3² × 5² × 7² × 131¹ × 2² × 107¹
LCM(96285,96300) = 618149700