What is the Least Common Multiple of 82097 and 82103?

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 82097 and 82103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82097 and 82103, than apply into the LCM equation.

GCF(82097,82103) = 1
LCM(82097,82103) = ( 82097 × 82103) / 1
LCM(82097,82103) = 6740409991 / 1
LCM(82097,82103) = 6740409991

Least Common Multiple (LCM) of 82097 and 82103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82097 and 82103. First we will calculate the prime factors of 82097 and 82103.

Prime Factorization of 82097

Prime Factorization of 82103

Now multiplying the highest exponent prime factors to calculate the LCM of 82097 and 82103.

LCM(82097,82103) = 53¹ × 1549¹ × 7¹ × 37¹ × 317¹
LCM(82097,82103) = 6740409991