What is the Least Common Multiple of 83797 and 83803?

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 83797 and 83803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83797 and 83803, than apply into the LCM equation.

GCF(83797,83803) = 1
LCM(83797,83803) = ( 83797 × 83803) / 1
LCM(83797,83803) = 7022439991 / 1
LCM(83797,83803) = 7022439991

Least Common Multiple (LCM) of 83797 and 83803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83797 and 83803. First we will calculate the prime factors of 83797 and 83803.

Prime Factorization of 83797

Prime Factorization of 83803

Now multiplying the highest exponent prime factors to calculate the LCM of 83797 and 83803.

LCM(83797,83803) = 7¹ × 11971¹ × 181¹ × 463¹
LCM(83797,83803) = 7022439991