What is the Least Common Multiple of 4284 and 4304?

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 4284 and 4304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4284 and 4304, than apply into the LCM equation.

GCF(4284,4304) = 4
LCM(4284,4304) = ( 4284 × 4304) / 4
LCM(4284,4304) = 18438336 / 4
LCM(4284,4304) = 4609584

Least Common Multiple (LCM) of 4284 and 4304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4284 and 4304. First we will calculate the prime factors of 4284 and 4304.

Prime Factorization of 4284

Prime Factorization of 4304

Now multiplying the highest exponent prime factors to calculate the LCM of 4284 and 4304.

LCM(4284,4304) = 2⁴ × 3² × 7¹ × 17¹ × 269¹
LCM(4284,4304) = 4609584