What is the Least Common Multiple of 4305 and 4320?

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 4305 and 4320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4305 and 4320, than apply into the LCM equation.

GCF(4305,4320) = 15
LCM(4305,4320) = ( 4305 × 4320) / 15
LCM(4305,4320) = 18597600 / 15
LCM(4305,4320) = 1239840

Least Common Multiple (LCM) of 4305 and 4320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4305 and 4320. First we will calculate the prime factors of 4305 and 4320.

Prime Factorization of 4305

Prime Factorization of 4320

Now multiplying the highest exponent prime factors to calculate the LCM of 4305 and 4320.

LCM(4305,4320) = 3³ × 5¹ × 7¹ × 41¹ × 2⁵
LCM(4305,4320) = 1239840