What is the Least Common Multiple of 83893 and 83897?

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 83893 and 83897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83893 and 83897, than apply into the LCM equation.

GCF(83893,83897) = 1
LCM(83893,83897) = ( 83893 × 83897) / 1
LCM(83893,83897) = 7038371021 / 1
LCM(83893,83897) = 7038371021

Least Common Multiple (LCM) of 83893 and 83897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83893 and 83897. First we will calculate the prime factors of 83893 and 83897.

Prime Factorization of 83893

Prime Factorization of 83897

Now multiplying the highest exponent prime factors to calculate the LCM of 83893 and 83897.

LCM(83893,83897) = 43¹ × 1951¹ × 11¹ × 29¹ × 263¹
LCM(83893,83897) = 7038371021