What is the Least Common Multiple of 9360 and 9368?

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 9360 and 9368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9360 and 9368, than apply into the LCM equation.

GCF(9360,9368) = 8
LCM(9360,9368) = ( 9360 × 9368) / 8
LCM(9360,9368) = 87684480 / 8
LCM(9360,9368) = 10960560

Least Common Multiple (LCM) of 9360 and 9368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9360 and 9368. First we will calculate the prime factors of 9360 and 9368.

Prime Factorization of 9360

Prime Factorization of 9368

Now multiplying the highest exponent prime factors to calculate the LCM of 9360 and 9368.

LCM(9360,9368) = 2⁴ × 3² × 5¹ × 13¹ × 1171¹
LCM(9360,9368) = 10960560