What is the Least Common Multiple of 15626 and 15631?

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 15626 and 15631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15626 and 15631, than apply into the LCM equation.

GCF(15626,15631) = 1
LCM(15626,15631) = ( 15626 × 15631) / 1
LCM(15626,15631) = 244250006 / 1
LCM(15626,15631) = 244250006

Least Common Multiple (LCM) of 15626 and 15631 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15626 and 15631. First we will calculate the prime factors of 15626 and 15631.

Prime Factorization of 15626

Prime Factorization of 15631

Now multiplying the highest exponent prime factors to calculate the LCM of 15626 and 15631.

LCM(15626,15631) = 2¹ × 13¹ × 601¹ × 7² × 11¹ × 29¹
LCM(15626,15631) = 244250006