What is the Least Common Multiple of 81398 and 81403?

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 81398 and 81403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81398 and 81403, than apply into the LCM equation.

GCF(81398,81403) = 1
LCM(81398,81403) = ( 81398 × 81403) / 1
LCM(81398,81403) = 6626041394 / 1
LCM(81398,81403) = 6626041394

Least Common Multiple (LCM) of 81398 and 81403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81398 and 81403. First we will calculate the prime factors of 81398 and 81403.

Prime Factorization of 81398

Prime Factorization of 81403

Now multiplying the highest exponent prime factors to calculate the LCM of 81398 and 81403.

LCM(81398,81403) = 2¹ × 40699¹ × 7¹ × 29¹ × 401¹
LCM(81398,81403) = 6626041394