What is the Least Common Multiple of 9456 and 9465?

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 9456 and 9465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9456 and 9465, than apply into the LCM equation.

GCF(9456,9465) = 3
LCM(9456,9465) = ( 9456 × 9465) / 3
LCM(9456,9465) = 89501040 / 3
LCM(9456,9465) = 29833680

Least Common Multiple (LCM) of 9456 and 9465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9456 and 9465. First we will calculate the prime factors of 9456 and 9465.

Prime Factorization of 9456

Prime Factorization of 9465

Now multiplying the highest exponent prime factors to calculate the LCM of 9456 and 9465.

LCM(9456,9465) = 2⁴ × 3¹ × 197¹ × 5¹ × 631¹
LCM(9456,9465) = 29833680