What is the Least Common Multiple of 78341 and 78361?

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 78341 and 78361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78341 and 78361, than apply into the LCM equation.

GCF(78341,78361) = 1
LCM(78341,78361) = ( 78341 × 78361) / 1
LCM(78341,78361) = 6138879101 / 1
LCM(78341,78361) = 6138879101

Least Common Multiple (LCM) of 78341 and 78361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78341 and 78361. First we will calculate the prime factors of 78341 and 78361.

Prime Factorization of 78341

Prime Factorization of 78361

Now multiplying the highest exponent prime factors to calculate the LCM of 78341 and 78361.

LCM(78341,78361) = 78341¹ × 23¹ × 3407¹
LCM(78341,78361) = 6138879101