What is the Least Common Multiple of 15714 and 15734?

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 15714 and 15734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15714 and 15734, than apply into the LCM equation.

GCF(15714,15734) = 2
LCM(15714,15734) = ( 15714 × 15734) / 2
LCM(15714,15734) = 247244076 / 2
LCM(15714,15734) = 123622038

Least Common Multiple (LCM) of 15714 and 15734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15714 and 15734. First we will calculate the prime factors of 15714 and 15734.

Prime Factorization of 15714

Prime Factorization of 15734

Now multiplying the highest exponent prime factors to calculate the LCM of 15714 and 15734.

LCM(15714,15734) = 2¹ × 3⁴ × 97¹ × 7867¹
LCM(15714,15734) = 123622038