What is the Least Common Multiple of 15635 and 15643?

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 15635 and 15643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15635 and 15643, than apply into the LCM equation.

GCF(15635,15643) = 1
LCM(15635,15643) = ( 15635 × 15643) / 1
LCM(15635,15643) = 244578305 / 1
LCM(15635,15643) = 244578305

Least Common Multiple (LCM) of 15635 and 15643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15635 and 15643. First we will calculate the prime factors of 15635 and 15643.

Prime Factorization of 15635

Prime Factorization of 15643

Now multiplying the highest exponent prime factors to calculate the LCM of 15635 and 15643.

LCM(15635,15643) = 5¹ × 53¹ × 59¹ × 15643¹
LCM(15635,15643) = 244578305