What is the Least Common Multiple of 1353 and 1361?

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 1353 and 1361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1353 and 1361, than apply into the LCM equation.

GCF(1353,1361) = 1
LCM(1353,1361) = ( 1353 × 1361) / 1
LCM(1353,1361) = 1841433 / 1
LCM(1353,1361) = 1841433

Least Common Multiple (LCM) of 1353 and 1361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1353 and 1361. First we will calculate the prime factors of 1353 and 1361.

Prime Factorization of 1353

Prime Factorization of 1361

Now multiplying the highest exponent prime factors to calculate the LCM of 1353 and 1361.

LCM(1353,1361) = 3¹ × 11¹ × 41¹ × 1361¹
LCM(1353,1361) = 1841433