What is the Least Common Multiple of 15628 and 15637?

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 15628 and 15637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15628 and 15637, than apply into the LCM equation.

GCF(15628,15637) = 1
LCM(15628,15637) = ( 15628 × 15637) / 1
LCM(15628,15637) = 244375036 / 1
LCM(15628,15637) = 244375036

Least Common Multiple (LCM) of 15628 and 15637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15628 and 15637. First we will calculate the prime factors of 15628 and 15637.

Prime Factorization of 15628

Prime Factorization of 15637

Now multiplying the highest exponent prime factors to calculate the LCM of 15628 and 15637.

LCM(15628,15637) = 2² × 3907¹ × 19¹ × 823¹
LCM(15628,15637) = 244375036