What is the Least Common Multiple of 99360 and 99365?

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 99360 and 99365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99360 and 99365, than apply into the LCM equation.

GCF(99360,99365) = 5
LCM(99360,99365) = ( 99360 × 99365) / 5
LCM(99360,99365) = 9872906400 / 5
LCM(99360,99365) = 1974581280

Least Common Multiple (LCM) of 99360 and 99365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99360 and 99365. First we will calculate the prime factors of 99360 and 99365.

Prime Factorization of 99360

Prime Factorization of 99365

Now multiplying the highest exponent prime factors to calculate the LCM of 99360 and 99365.

LCM(99360,99365) = 2⁵ × 3³ × 5¹ × 23¹ × 7¹ × 17¹ × 167¹
LCM(99360,99365) = 1974581280