What is the Least Common Multiple of 44280 and 44285?

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 44280 and 44285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44280 and 44285, than apply into the LCM equation.

GCF(44280,44285) = 5
LCM(44280,44285) = ( 44280 × 44285) / 5
LCM(44280,44285) = 1960939800 / 5
LCM(44280,44285) = 392187960

Least Common Multiple (LCM) of 44280 and 44285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44280 and 44285. First we will calculate the prime factors of 44280 and 44285.

Prime Factorization of 44280

Prime Factorization of 44285

Now multiplying the highest exponent prime factors to calculate the LCM of 44280 and 44285.

LCM(44280,44285) = 2³ × 3³ × 5¹ × 41¹ × 17¹ × 521¹
LCM(44280,44285) = 392187960