What is the Least Common Multiple of 4349 and 4361?

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 4349 and 4361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4349 and 4361, than apply into the LCM equation.

GCF(4349,4361) = 1
LCM(4349,4361) = ( 4349 × 4361) / 1
LCM(4349,4361) = 18965989 / 1
LCM(4349,4361) = 18965989

Least Common Multiple (LCM) of 4349 and 4361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4349 and 4361. First we will calculate the prime factors of 4349 and 4361.

Prime Factorization of 4349

Prime Factorization of 4361

Now multiplying the highest exponent prime factors to calculate the LCM of 4349 and 4361.

LCM(4349,4361) = 4349¹ × 7² × 89¹
LCM(4349,4361) = 18965989