What is the Least Common Multiple of 78097 and 78107?

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 78097 and 78107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78097 and 78107, than apply into the LCM equation.

GCF(78097,78107) = 1
LCM(78097,78107) = ( 78097 × 78107) / 1
LCM(78097,78107) = 6099922379 / 1
LCM(78097,78107) = 6099922379

Least Common Multiple (LCM) of 78097 and 78107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78097 and 78107. First we will calculate the prime factors of 78097 and 78107.

Prime Factorization of 78097

Prime Factorization of 78107

Now multiplying the highest exponent prime factors to calculate the LCM of 78097 and 78107.

LCM(78097,78107) = 29¹ × 2693¹ × 37¹ × 2111¹
LCM(78097,78107) = 6099922379