What is the Least Common Multiple of 44258 and 44278?

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 44258 and 44278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44258 and 44278, than apply into the LCM equation.

GCF(44258,44278) = 2
LCM(44258,44278) = ( 44258 × 44278) / 2
LCM(44258,44278) = 1959655724 / 2
LCM(44258,44278) = 979827862

Least Common Multiple (LCM) of 44258 and 44278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44258 and 44278. First we will calculate the prime factors of 44258 and 44278.

Prime Factorization of 44258

Prime Factorization of 44278

Now multiplying the highest exponent prime factors to calculate the LCM of 44258 and 44278.

LCM(44258,44278) = 2¹ × 22129¹ × 13² × 131¹
LCM(44258,44278) = 979827862