What is the Least Common Multiple of 44268 and 44288?

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 44268 and 44288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44268 and 44288, than apply into the LCM equation.

GCF(44268,44288) = 4
LCM(44268,44288) = ( 44268 × 44288) / 4
LCM(44268,44288) = 1960541184 / 4
LCM(44268,44288) = 490135296

Least Common Multiple (LCM) of 44268 and 44288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44268 and 44288. First we will calculate the prime factors of 44268 and 44288.

Prime Factorization of 44268

Prime Factorization of 44288

Now multiplying the highest exponent prime factors to calculate the LCM of 44268 and 44288.

LCM(44268,44288) = 2⁸ × 3¹ × 7¹ × 17¹ × 31¹ × 173¹
LCM(44268,44288) = 490135296