What is the Least Common Multiple of 15709 and 15727?

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 15709 and 15727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15709 and 15727, than apply into the LCM equation.

GCF(15709,15727) = 1
LCM(15709,15727) = ( 15709 × 15727) / 1
LCM(15709,15727) = 247055443 / 1
LCM(15709,15727) = 247055443

Least Common Multiple (LCM) of 15709 and 15727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15709 and 15727. First we will calculate the prime factors of 15709 and 15727.

Prime Factorization of 15709

Prime Factorization of 15727

Now multiplying the highest exponent prime factors to calculate the LCM of 15709 and 15727.

LCM(15709,15727) = 23¹ × 683¹ × 15727¹
LCM(15709,15727) = 247055443