What is the Least Common Multiple of 19696 and 19714?

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 19696 and 19714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19696 and 19714, than apply into the LCM equation.

GCF(19696,19714) = 2
LCM(19696,19714) = ( 19696 × 19714) / 2
LCM(19696,19714) = 388286944 / 2
LCM(19696,19714) = 194143472

Least Common Multiple (LCM) of 19696 and 19714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19696 and 19714. First we will calculate the prime factors of 19696 and 19714.

Prime Factorization of 19696

Prime Factorization of 19714

Now multiplying the highest exponent prime factors to calculate the LCM of 19696 and 19714.

LCM(19696,19714) = 2⁴ × 1231¹ × 9857¹
LCM(19696,19714) = 194143472