Least Common Multiple of 1363 and 1367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1363 and 1367 the smallest integer that is 1863221 that is divisible by both numbers.

Least Common Multiple (LCM) of 1363 and 1367 is 1863221.

LCM(1363,1367) = 1863221

LCM of 1363 and 1367

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 1363 and 1367

LCM of 1363 and 1367 is 1863221

Least common multiple can be found by multiplying the highest exponent prime factors of 1363 and 1367. First we will calculate the prime factors of 1363 and 1367.

Prime Factorization of 1363


29 1363
47 47
1

Prime factors of 1363 are 29,47. Prime factorization of 1363 in exponential form is:

1363 = 291×471

Prime Factorization of 1367


1367 1367
1

Prime factors of 1367 are 1367. Prime factorization of 1367 in exponential form is:

1367 = 13671

Now multiplying the highest exponent prime factors to calculate the LCM of 1363 and 1367.

LCM(1363,1367) = 291×471×13671
LCM(1363,1367) = 1863221

Factors of 1363

List of positive integer factors of 1363 that divides 1363 without a remainder.

1, 29, 47, 1363

Factors of 1367

List of positive integer factors of 1367 that divides 1367 without a remainder.

1, 1367

Least Common Multiple of 1363 and 1367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1363 and 1367, than apply into the LCM equation.

GCF(1363,1367) = 1
LCM(1363,1367) = ( 1363 × 1367) / 1
LCM(1363,1367) = 1863221 / 1
LCM(1363,1367) = 1863221

Properties of LCM 1363 and 1367

(i) The LCM of 1367 and 1363 is associative

LCM of 1363 and 1367 = LCM of 1367 and 1363

Related Least Common Multiples of 1363

Related Least Common Multiples of 1367

Frequently Asked Questions on LCM of 1363 and 1367

1. What is the LCM of 1363 and 1367?

Answer: LCM of 1363 and 1367 is 1863221.

2. What are the Factors of 1363?

Answer: Factors of 1363 are 1, 29, 47, 1363. There are 4 integers that are factors of 1363. The greatest factor of 1363 is 1363.

3. What are the Factors of 1367?

Answer: Factors of 1367 are 1, 1367. There are 2 integers that are factors of 1367. The greatest factor of 1367 is 1367.

4. How to Find the LCM of 1363 and 1367?

Answer:

Least Common Multiple of 1363 and 1367 = 1863221

Step 1: Find the prime factorization of 1363

1363 = 29 x 47

Step 2: Find the prime factorization of 1367

1367 = 1367

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 1863221 = 29 x 47 x 1367

Step 4: Therefore, the least common multiple of 1363 and 1367 is 1863221.