What is the Least Common Multiple of 44375 and 44386?

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 44375 and 44386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44375 and 44386, than apply into the LCM equation.

GCF(44375,44386) = 1
LCM(44375,44386) = ( 44375 × 44386) / 1
LCM(44375,44386) = 1969628750 / 1
LCM(44375,44386) = 1969628750

Least Common Multiple (LCM) of 44375 and 44386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44375 and 44386. First we will calculate the prime factors of 44375 and 44386.

Prime Factorization of 44375

Prime Factorization of 44386

Now multiplying the highest exponent prime factors to calculate the LCM of 44375 and 44386.

LCM(44375,44386) = 5⁴ × 71¹ × 2¹ × 22193¹
LCM(44375,44386) = 1969628750