What is the Least Common Multiple of 44278 and 44298?

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 44278 and 44298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44278 and 44298, than apply into the LCM equation.

GCF(44278,44298) = 2
LCM(44278,44298) = ( 44278 × 44298) / 2
LCM(44278,44298) = 1961426844 / 2
LCM(44278,44298) = 980713422

Least Common Multiple (LCM) of 44278 and 44298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44278 and 44298. First we will calculate the prime factors of 44278 and 44298.

Prime Factorization of 44278

Prime Factorization of 44298

Now multiplying the highest exponent prime factors to calculate the LCM of 44278 and 44298.

LCM(44278,44298) = 2¹ × 13² × 131¹ × 3² × 23¹ × 107¹
LCM(44278,44298) = 980713422