What is the Least Common Multiple of 83916 and 83929?

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 83916 and 83929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83916 and 83929, than apply into the LCM equation.

GCF(83916,83929) = 1
LCM(83916,83929) = ( 83916 × 83929) / 1
LCM(83916,83929) = 7042985964 / 1
LCM(83916,83929) = 7042985964

Least Common Multiple (LCM) of 83916 and 83929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83916 and 83929. First we will calculate the prime factors of 83916 and 83929.

Prime Factorization of 83916

Prime Factorization of 83929

Now multiplying the highest exponent prime factors to calculate the LCM of 83916 and 83929.

LCM(83916,83929) = 2² × 3⁴ × 7¹ × 37¹ × 17¹ × 4937¹
LCM(83916,83929) = 7042985964