What is the Least Common Multiple of 34349 and 34361?

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 34349 and 34361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34349 and 34361, than apply into the LCM equation.

GCF(34349,34361) = 1
LCM(34349,34361) = ( 34349 × 34361) / 1
LCM(34349,34361) = 1180265989 / 1
LCM(34349,34361) = 1180265989

Least Common Multiple (LCM) of 34349 and 34361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34349 and 34361. First we will calculate the prime factors of 34349 and 34361.

Prime Factorization of 34349

Prime Factorization of 34361

Now multiplying the highest exponent prime factors to calculate the LCM of 34349 and 34361.

LCM(34349,34361) = 7² × 701¹ × 34361¹
LCM(34349,34361) = 1180265989