What is the Least Common Multiple of 9465 and 9480?

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 9465 and 9480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9465 and 9480, than apply into the LCM equation.

GCF(9465,9480) = 15
LCM(9465,9480) = ( 9465 × 9480) / 15
LCM(9465,9480) = 89728200 / 15
LCM(9465,9480) = 5981880

Least Common Multiple (LCM) of 9465 and 9480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9465 and 9480. First we will calculate the prime factors of 9465 and 9480.

Prime Factorization of 9465

Prime Factorization of 9480

Now multiplying the highest exponent prime factors to calculate the LCM of 9465 and 9480.

LCM(9465,9480) = 3¹ × 5¹ × 631¹ × 2³ × 79¹
LCM(9465,9480) = 5981880