What is the Least Common Multiple of 44275 and 44280?

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 44275 and 44280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44275 and 44280, than apply into the LCM equation.

GCF(44275,44280) = 5
LCM(44275,44280) = ( 44275 × 44280) / 5
LCM(44275,44280) = 1960497000 / 5
LCM(44275,44280) = 392099400

Least Common Multiple (LCM) of 44275 and 44280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44275 and 44280. First we will calculate the prime factors of 44275 and 44280.

Prime Factorization of 44275

Prime Factorization of 44280

Now multiplying the highest exponent prime factors to calculate the LCM of 44275 and 44280.

LCM(44275,44280) = 5² × 7¹ × 11¹ × 23¹ × 2³ × 3³ × 41¹
LCM(44275,44280) = 392099400