What is the Least Common Multiple of 83102 and 83117?

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 83102 and 83117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83102 and 83117, than apply into the LCM equation.

GCF(83102,83117) = 1
LCM(83102,83117) = ( 83102 × 83117) / 1
LCM(83102,83117) = 6907188934 / 1
LCM(83102,83117) = 6907188934

Least Common Multiple (LCM) of 83102 and 83117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83102 and 83117. First we will calculate the prime factors of 83102 and 83117.

Prime Factorization of 83102

Prime Factorization of 83117

Now multiplying the highest exponent prime factors to calculate the LCM of 83102 and 83117.

LCM(83102,83117) = 2¹ × 37¹ × 1123¹ × 83117¹
LCM(83102,83117) = 6907188934