What is the Least Common Multiple of 83882 and 83893?

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 83893 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 83893, than apply into the LCM equation.

GCF(83882,83893) = 1
LCM(83882,83893) = ( 83882 × 83893) / 1
LCM(83882,83893) = 7037112626 / 1
LCM(83882,83893) = 7037112626

Least Common Multiple (LCM) of 83882 and 83893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83882 and 83893. First we will calculate the prime factors of 83882 and 83893.

Prime Factorization of 83882

Prime Factorization of 83893

Now multiplying the highest exponent prime factors to calculate the LCM of 83882 and 83893.

LCM(83882,83893) = 2¹ × 41941¹ × 43¹ × 1951¹
LCM(83882,83893) = 7037112626