What is the Least Common Multiple of 44300 and 44319?

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 44300 and 44319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44300 and 44319, than apply into the LCM equation.

GCF(44300,44319) = 1
LCM(44300,44319) = ( 44300 × 44319) / 1
LCM(44300,44319) = 1963331700 / 1
LCM(44300,44319) = 1963331700

Least Common Multiple (LCM) of 44300 and 44319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44300 and 44319. First we will calculate the prime factors of 44300 and 44319.

Prime Factorization of 44300

Prime Factorization of 44319

Now multiplying the highest exponent prime factors to calculate the LCM of 44300 and 44319.

LCM(44300,44319) = 2² × 5² × 443¹ × 3¹ × 11¹ × 17¹ × 79¹
LCM(44300,44319) = 1963331700