What is the Least Common Multiple of 44667 and 44687?

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 44667 and 44687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44667 and 44687, than apply into the LCM equation.

GCF(44667,44687) = 1
LCM(44667,44687) = ( 44667 × 44687) / 1
LCM(44667,44687) = 1996034229 / 1
LCM(44667,44687) = 1996034229

Least Common Multiple (LCM) of 44667 and 44687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44667 and 44687. First we will calculate the prime factors of 44667 and 44687.

Prime Factorization of 44667

Prime Factorization of 44687

Now multiplying the highest exponent prime factors to calculate the LCM of 44667 and 44687.

LCM(44667,44687) = 3² × 7¹ × 709¹ × 44687¹
LCM(44667,44687) = 1996034229