What is the Least Common Multiple of 40343 and 40361?

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 40343 and 40361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40343 and 40361, than apply into the LCM equation.

GCF(40343,40361) = 1
LCM(40343,40361) = ( 40343 × 40361) / 1
LCM(40343,40361) = 1628283823 / 1
LCM(40343,40361) = 1628283823

Least Common Multiple (LCM) of 40343 and 40361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40343 and 40361. First we will calculate the prime factors of 40343 and 40361.

Prime Factorization of 40343

Prime Factorization of 40361

Now multiplying the highest exponent prime factors to calculate the LCM of 40343 and 40361.

LCM(40343,40361) = 40343¹ × 40361¹
LCM(40343,40361) = 1628283823