What is the Least Common Multiple of 9360 and 9369?

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 9369 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 9369, than apply into the LCM equation.

GCF(9360,9369) = 9
LCM(9360,9369) = ( 9360 × 9369) / 9
LCM(9360,9369) = 87693840 / 9
LCM(9360,9369) = 9743760

Least Common Multiple (LCM) of 9360 and 9369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9360 and 9369. First we will calculate the prime factors of 9360 and 9369.

Prime Factorization of 9360

Prime Factorization of 9369

Now multiplying the highest exponent prime factors to calculate the LCM of 9360 and 9369.

LCM(9360,9369) = 2⁴ × 3³ × 5¹ × 13¹ × 347¹
LCM(9360,9369) = 9743760