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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 (LCM) of 1353 and 1361 is 1841433.

LCM(1353,1361) = 1841433

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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 factors of 1353 are 3, 11, 41. Prime factorization of 1353 in exponential form is:

1353 = 31 × 111 × 411

Prime Factorization of 1361

Prime factors of 1361 are 1361. Prime factorization of 1361 in exponential form is:

1361 = 13611

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