What is the Least Common Multiple of 41626 and 41631?

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 41626 and 41631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41626 and 41631, than apply into the LCM equation.

GCF(41626,41631) = 1
LCM(41626,41631) = ( 41626 × 41631) / 1
LCM(41626,41631) = 1732932006 / 1
LCM(41626,41631) = 1732932006

Least Common Multiple (LCM) of 41626 and 41631 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41626 and 41631. First we will calculate the prime factors of 41626 and 41631.

Prime Factorization of 41626

Prime Factorization of 41631

Now multiplying the highest exponent prime factors to calculate the LCM of 41626 and 41631.

LCM(41626,41631) = 2¹ × 13¹ × 1601¹ × 3¹ × 13877¹
LCM(41626,41631) = 1732932006