What is the Least Common Multiple of 44380 and 44398?

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 44380 and 44398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44380 and 44398, than apply into the LCM equation.

GCF(44380,44398) = 2
LCM(44380,44398) = ( 44380 × 44398) / 2
LCM(44380,44398) = 1970383240 / 2
LCM(44380,44398) = 985191620

Least Common Multiple (LCM) of 44380 and 44398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44380 and 44398. First we will calculate the prime factors of 44380 and 44398.

Prime Factorization of 44380

Prime Factorization of 44398

Now multiplying the highest exponent prime factors to calculate the LCM of 44380 and 44398.

LCM(44380,44398) = 2² × 5¹ × 7¹ × 317¹ × 79¹ × 281¹
LCM(44380,44398) = 985191620