What is the Least Common Multiple of 4304 and 4308?

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 4304 and 4308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4304 and 4308, than apply into the LCM equation.

GCF(4304,4308) = 4
LCM(4304,4308) = ( 4304 × 4308) / 4
LCM(4304,4308) = 18541632 / 4
LCM(4304,4308) = 4635408

Least Common Multiple (LCM) of 4304 and 4308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4304 and 4308. First we will calculate the prime factors of 4304 and 4308.

Prime Factorization of 4304

Prime Factorization of 4308

Now multiplying the highest exponent prime factors to calculate the LCM of 4304 and 4308.

LCM(4304,4308) = 2⁴ × 269¹ × 3¹ × 359¹
LCM(4304,4308) = 4635408