What is the Least Common Multiple of 9645 and 9660?

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 9645 and 9660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9645 and 9660, than apply into the LCM equation.

GCF(9645,9660) = 15
LCM(9645,9660) = ( 9645 × 9660) / 15
LCM(9645,9660) = 93170700 / 15
LCM(9645,9660) = 6211380

Least Common Multiple (LCM) of 9645 and 9660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9645 and 9660. First we will calculate the prime factors of 9645 and 9660.

Prime Factorization of 9645

Prime Factorization of 9660

Now multiplying the highest exponent prime factors to calculate the LCM of 9645 and 9660.

LCM(9645,9660) = 3¹ × 5¹ × 643¹ × 2² × 7¹ × 23¹
LCM(9645,9660) = 6211380