What is the Least Common Multiple of 4320 and 4335?

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 4320 and 4335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4320 and 4335, than apply into the LCM equation.

GCF(4320,4335) = 15
LCM(4320,4335) = ( 4320 × 4335) / 15
LCM(4320,4335) = 18727200 / 15
LCM(4320,4335) = 1248480

Least Common Multiple (LCM) of 4320 and 4335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4320 and 4335. First we will calculate the prime factors of 4320 and 4335.

Prime Factorization of 4320

Prime Factorization of 4335

Now multiplying the highest exponent prime factors to calculate the LCM of 4320 and 4335.

LCM(4320,4335) = 2⁵ × 3³ × 5¹ × 17²
LCM(4320,4335) = 1248480