What is the Least Common Multiple of 82397 and 82403?

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 82397 and 82403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82397 and 82403, than apply into the LCM equation.

GCF(82397,82403) = 1
LCM(82397,82403) = ( 82397 × 82403) / 1
LCM(82397,82403) = 6789759991 / 1
LCM(82397,82403) = 6789759991

Least Common Multiple (LCM) of 82397 and 82403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82397 and 82403. First we will calculate the prime factors of 82397 and 82403.

Prime Factorization of 82397

Prime Factorization of 82403

Now multiplying the highest exponent prime factors to calculate the LCM of 82397 and 82403.

LCM(82397,82403) = 7¹ × 79¹ × 149¹ × 19¹ × 4337¹
LCM(82397,82403) = 6789759991