What is the Least Common Multiple of 44278 and 44292?

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 44292 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 44292, than apply into the LCM equation.

GCF(44278,44292) = 2
LCM(44278,44292) = ( 44278 × 44292) / 2
LCM(44278,44292) = 1961161176 / 2
LCM(44278,44292) = 980580588

Least Common Multiple (LCM) of 44278 and 44292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44278 and 44292. First we will calculate the prime factors of 44278 and 44292.

Prime Factorization of 44278

Prime Factorization of 44292

Now multiplying the highest exponent prime factors to calculate the LCM of 44278 and 44292.

LCM(44278,44292) = 2² × 13² × 131¹ × 3¹ × 3691¹
LCM(44278,44292) = 980580588