What is the Least Common Multiple of 44275 and 44290?

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 44290 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 44290, than apply into the LCM equation.

GCF(44275,44290) = 5
LCM(44275,44290) = ( 44275 × 44290) / 5
LCM(44275,44290) = 1960939750 / 5
LCM(44275,44290) = 392187950

Least Common Multiple (LCM) of 44275 and 44290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44275 and 44290. First we will calculate the prime factors of 44275 and 44290.

Prime Factorization of 44275

Prime Factorization of 44290

Now multiplying the highest exponent prime factors to calculate the LCM of 44275 and 44290.

LCM(44275,44290) = 5² × 7¹ × 11¹ × 23¹ × 2¹ × 43¹ × 103¹
LCM(44275,44290) = 392187950