What is the Least Common Multiple of 83714 and 83734?

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 83714 and 83734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83714 and 83734, than apply into the LCM equation.

GCF(83714,83734) = 2
LCM(83714,83734) = ( 83714 × 83734) / 2
LCM(83714,83734) = 7009708076 / 2
LCM(83714,83734) = 3504854038

Least Common Multiple (LCM) of 83714 and 83734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83714 and 83734. First we will calculate the prime factors of 83714 and 83734.

Prime Factorization of 83714

Prime Factorization of 83734

Now multiplying the highest exponent prime factors to calculate the LCM of 83714 and 83734.

LCM(83714,83734) = 2¹ × 19¹ × 2203¹ × 7¹ × 5981¹
LCM(83714,83734) = 3504854038