What is the Least Common Multiple of 33360 and 33365?

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 33360 and 33365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33360 and 33365, than apply into the LCM equation.

GCF(33360,33365) = 5
LCM(33360,33365) = ( 33360 × 33365) / 5
LCM(33360,33365) = 1113056400 / 5
LCM(33360,33365) = 222611280

Least Common Multiple (LCM) of 33360 and 33365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33360 and 33365. First we will calculate the prime factors of 33360 and 33365.

Prime Factorization of 33360

Prime Factorization of 33365

Now multiplying the highest exponent prime factors to calculate the LCM of 33360 and 33365.

LCM(33360,33365) = 2⁴ × 3¹ × 5¹ × 139¹ × 6673¹
LCM(33360,33365) = 222611280