What is the Least Common Multiple of 15700 and 15714?

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 15700 and 15714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15700 and 15714, than apply into the LCM equation.

GCF(15700,15714) = 2
LCM(15700,15714) = ( 15700 × 15714) / 2
LCM(15700,15714) = 246709800 / 2
LCM(15700,15714) = 123354900

Least Common Multiple (LCM) of 15700 and 15714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15700 and 15714. First we will calculate the prime factors of 15700 and 15714.

Prime Factorization of 15700

Prime Factorization of 15714

Now multiplying the highest exponent prime factors to calculate the LCM of 15700 and 15714.

LCM(15700,15714) = 2² × 5² × 157¹ × 3⁴ × 97¹
LCM(15700,15714) = 123354900