What is the Least Common Multiple of 44304 and 44310?

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 44304 and 44310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44304 and 44310, than apply into the LCM equation.

GCF(44304,44310) = 6
LCM(44304,44310) = ( 44304 × 44310) / 6
LCM(44304,44310) = 1963110240 / 6
LCM(44304,44310) = 327185040

Least Common Multiple (LCM) of 44304 and 44310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44304 and 44310. First we will calculate the prime factors of 44304 and 44310.

Prime Factorization of 44304

Prime Factorization of 44310

Now multiplying the highest exponent prime factors to calculate the LCM of 44304 and 44310.

LCM(44304,44310) = 2⁴ × 3¹ × 13¹ × 71¹ × 5¹ × 7¹ × 211¹
LCM(44304,44310) = 327185040