What is the Least Common Multiple of 44626 and 44631?

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 44626 and 44631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44626 and 44631, than apply into the LCM equation.

GCF(44626,44631) = 1
LCM(44626,44631) = ( 44626 × 44631) / 1
LCM(44626,44631) = 1991703006 / 1
LCM(44626,44631) = 1991703006

Least Common Multiple (LCM) of 44626 and 44631 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44626 and 44631. First we will calculate the prime factors of 44626 and 44631.

Prime Factorization of 44626

Prime Factorization of 44631

Now multiplying the highest exponent prime factors to calculate the LCM of 44626 and 44631.

LCM(44626,44631) = 2¹ × 53¹ × 421¹ × 3⁴ × 19¹ × 29¹
LCM(44626,44631) = 1991703006