What is the Least Common Multiple of 96645 and 96660?

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 96645 and 96660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96645 and 96660, than apply into the LCM equation.

GCF(96645,96660) = 15
LCM(96645,96660) = ( 96645 × 96660) / 15
LCM(96645,96660) = 9341705700 / 15
LCM(96645,96660) = 622780380

Least Common Multiple (LCM) of 96645 and 96660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96645 and 96660. First we will calculate the prime factors of 96645 and 96660.

Prime Factorization of 96645

Prime Factorization of 96660

Now multiplying the highest exponent prime factors to calculate the LCM of 96645 and 96660.

LCM(96645,96660) = 3³ × 5¹ × 17¹ × 379¹ × 2² × 179¹
LCM(96645,96660) = 622780380