What is the Least Common Multiple of 83882 and 83902?

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 83882 and 83902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83882 and 83902, than apply into the LCM equation.

GCF(83882,83902) = 2
LCM(83882,83902) = ( 83882 × 83902) / 2
LCM(83882,83902) = 7037867564 / 2
LCM(83882,83902) = 3518933782

Least Common Multiple (LCM) of 83882 and 83902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83882 and 83902. First we will calculate the prime factors of 83882 and 83902.

Prime Factorization of 83882

Prime Factorization of 83902

Now multiplying the highest exponent prime factors to calculate the LCM of 83882 and 83902.

LCM(83882,83902) = 2¹ × 41941¹ × 7¹ × 13¹ × 461¹
LCM(83882,83902) = 3518933782