What is the Least Common Multiple of 4305 and 4314?

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 4314 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 4314, than apply into the LCM equation.

GCF(4305,4314) = 3
LCM(4305,4314) = ( 4305 × 4314) / 3
LCM(4305,4314) = 18571770 / 3
LCM(4305,4314) = 6190590

Least Common Multiple (LCM) of 4305 and 4314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4305 and 4314. First we will calculate the prime factors of 4305 and 4314.

Prime Factorization of 4305

Prime Factorization of 4314

Now multiplying the highest exponent prime factors to calculate the LCM of 4305 and 4314.

LCM(4305,4314) = 3¹ × 5¹ × 7¹ × 41¹ × 2¹ × 719¹
LCM(4305,4314) = 6190590