What is the Least Common Multiple of 44317 and 44331?

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 44317 and 44331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44317 and 44331, than apply into the LCM equation.

GCF(44317,44331) = 7
LCM(44317,44331) = ( 44317 × 44331) / 7
LCM(44317,44331) = 1964616927 / 7
LCM(44317,44331) = 280659561

Least Common Multiple (LCM) of 44317 and 44331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44317 and 44331. First we will calculate the prime factors of 44317 and 44331.

Prime Factorization of 44317

Prime Factorization of 44331

Now multiplying the highest exponent prime factors to calculate the LCM of 44317 and 44331.

LCM(44317,44331) = 7¹ × 13¹ × 487¹ × 3¹ × 2111¹
LCM(44317,44331) = 280659561