What is the Least Common Multiple of 44275 and 44282?

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 44282 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 44282, than apply into the LCM equation.

GCF(44275,44282) = 7
LCM(44275,44282) = ( 44275 × 44282) / 7
LCM(44275,44282) = 1960585550 / 7
LCM(44275,44282) = 280083650

Least Common Multiple (LCM) of 44275 and 44282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44275 and 44282. First we will calculate the prime factors of 44275 and 44282.

Prime Factorization of 44275

Prime Factorization of 44282

Now multiplying the highest exponent prime factors to calculate the LCM of 44275 and 44282.

LCM(44275,44282) = 5² × 7¹ × 11¹ × 23¹ × 2¹ × 3163¹
LCM(44275,44282) = 280083650