Least Common Multiple of 1356 and 1363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1356 and 1363 the smallest integer that is 1848228 that is divisible by both numbers.

Least Common Multiple (LCM) of 1356 and 1363 is 1848228.

LCM(1356,1363) = 1848228

LCM of 1356 and 1363

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

LCM of:
and

Least Common Multiple of 1356 and 1363

LCM of 1356 and 1363 is 1848228

Least common multiple can be found by multiplying the highest exponent prime factors of 1356 and 1363. First we will calculate the prime factors of 1356 and 1363.

Prime Factorization of 1356


2 1356
2 678
3 339
113 113
1

Prime factors of 1356 are 2, 3,113. Prime factorization of 1356 in exponential form is:

1356 = 22×31×1131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1356 and 1363.

LCM(1356,1363) = 22×31×291×471×1131
LCM(1356,1363) = 1848228

Factors of 1356

List of positive integer factors of 1356 that divides 1356 without a remainder.

1, 2, 3, 4, 6, 12, 113, 226, 339, 452, 678, 1356

Factors of 1363

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

1, 29, 47, 1363

Least Common Multiple of 1356 and 1363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1356 and 1363, than apply into the LCM equation.

GCF(1356,1363) = 1
LCM(1356,1363) = ( 1356 × 1363) / 1
LCM(1356,1363) = 1848228 / 1
LCM(1356,1363) = 1848228

Properties of LCM 1356 and 1363

(i) The LCM of 1363 and 1356 is associative

LCM of 1356 and 1363 = LCM of 1363 and 1356

Related Least Common Multiples of 1356

Related Least Common Multiples of 1363

Frequently Asked Questions on LCM of 1356 and 1363

1. What is the LCM of 1356 and 1363?

Answer: LCM of 1356 and 1363 is 1848228.

2. What are the Factors of 1356?

Answer: Factors of 1356 are 1, 2, 3, 4, 6, 12, 113, 226, 339, 452, 678, 1356. There are 12 integers that are factors of 1356. The greatest factor of 1356 is 1356.

3. 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.

4. How to Find the LCM of 1356 and 1363?

Answer:

Least Common Multiple of 1356 and 1363 = 1848228

Step 1: Find the prime factorization of 1356

1356 = 2 x 2 x 3 x 113

Step 2: Find the prime factorization of 1363

1363 = 29 x 47

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

LCM = 1848228 = 2 x 2 x 3 x 29 x 47 x 113

Step 4: Therefore, the least common multiple of 1356 and 1363 is 1848228.