What is the Least Common Multiple of 44435 and 44440?

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 44435 and 44440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44435 and 44440, than apply into the LCM equation.

GCF(44435,44440) = 5
LCM(44435,44440) = ( 44435 × 44440) / 5
LCM(44435,44440) = 1974691400 / 5
LCM(44435,44440) = 394938280

Least Common Multiple (LCM) of 44435 and 44440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44435 and 44440. First we will calculate the prime factors of 44435 and 44440.

Prime Factorization of 44435

Prime Factorization of 44440

Now multiplying the highest exponent prime factors to calculate the LCM of 44435 and 44440.

LCM(44435,44440) = 5¹ × 8887¹ × 2³ × 11¹ × 101¹
LCM(44435,44440) = 394938280