What is the Least Common Multiple of 83907 and 83916?

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 83907 and 83916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83907 and 83916, than apply into the LCM equation.

GCF(83907,83916) = 9
LCM(83907,83916) = ( 83907 × 83916) / 9
LCM(83907,83916) = 7041139812 / 9
LCM(83907,83916) = 782348868

Least Common Multiple (LCM) of 83907 and 83916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83907 and 83916. First we will calculate the prime factors of 83907 and 83916.

Prime Factorization of 83907

Prime Factorization of 83916

Now multiplying the highest exponent prime factors to calculate the LCM of 83907 and 83916.

LCM(83907,83916) = 3⁴ × 9323¹ × 2² × 7¹ × 37¹
LCM(83907,83916) = 782348868