What is the Least Common Multiple of 20349 and 20361?

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 20349 and 20361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20349 and 20361, than apply into the LCM equation.

GCF(20349,20361) = 3
LCM(20349,20361) = ( 20349 × 20361) / 3
LCM(20349,20361) = 414325989 / 3
LCM(20349,20361) = 138108663

Least Common Multiple (LCM) of 20349 and 20361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20349 and 20361. First we will calculate the prime factors of 20349 and 20361.

Prime Factorization of 20349

Prime Factorization of 20361

Now multiplying the highest exponent prime factors to calculate the LCM of 20349 and 20361.

LCM(20349,20361) = 3² × 7¹ × 17¹ × 19¹ × 11¹ × 617¹
LCM(20349,20361) = 138108663