What is the Least Common Multiple of 44374 and 44389?

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 44374 and 44389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44374 and 44389, than apply into the LCM equation.

GCF(44374,44389) = 1
LCM(44374,44389) = ( 44374 × 44389) / 1
LCM(44374,44389) = 1969717486 / 1
LCM(44374,44389) = 1969717486

Least Common Multiple (LCM) of 44374 and 44389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44374 and 44389. First we will calculate the prime factors of 44374 and 44389.

Prime Factorization of 44374

Prime Factorization of 44389

Now multiplying the highest exponent prime factors to calculate the LCM of 44374 and 44389.

LCM(44374,44389) = 2¹ × 11¹ × 2017¹ × 44389¹
LCM(44374,44389) = 1969717486