Least Common Multiple of 1356 and 1364

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 1364 the smallest integer that is 462396 that is divisible by both numbers.

Least Common Multiple (LCM) of 1356 and 1364 is 462396.

LCM(1356,1364) = 462396

LCM of 1356 and 1364

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

LCM of:
and

Least Common Multiple of 1356 and 1364

LCM of 1356 and 1364 is 462396

Least common multiple can be found by multiplying the highest exponent prime factors of 1356 and 1364. First we will calculate the prime factors of 1356 and 1364.

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 1364


2 1364
2 682
11 341
31 31
1

Prime factors of 1364 are 2, 11,31. Prime factorization of 1364 in exponential form is:

1364 = 22×111×311

Now multiplying the highest exponent prime factors to calculate the LCM of 1356 and 1364.

LCM(1356,1364) = 22×31×111×311×1131
LCM(1356,1364) = 462396

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 1364

List of positive integer factors of 1364 that divides 1364 without a remainder.

1, 2, 4, 11, 22, 31, 44, 62, 124, 341, 682, 1364

Least Common Multiple of 1356 and 1364 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 1364, than apply into the LCM equation.

GCF(1356,1364) = 4
LCM(1356,1364) = ( 1356 × 1364) / 4
LCM(1356,1364) = 1849584 / 4
LCM(1356,1364) = 462396

Properties of LCM 1356 and 1364

(i) The LCM of 1364 and 1356 is associative

LCM of 1356 and 1364 = LCM of 1364 and 1356

Related Least Common Multiples of 1356

Related Least Common Multiples of 1364

Frequently Asked Questions on LCM of 1356 and 1364

1. What is the LCM of 1356 and 1364?

Answer: LCM of 1356 and 1364 is 462396.

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 1364?

Answer: Factors of 1364 are 1, 2, 4, 11, 22, 31, 44, 62, 124, 341, 682, 1364. There are 12 integers that are factors of 1364. The greatest factor of 1364 is 1364.

4. How to Find the LCM of 1356 and 1364?

Answer:

Least Common Multiple of 1356 and 1364 = 462396

Step 1: Find the prime factorization of 1356

1356 = 2 x 2 x 3 x 113

Step 2: Find the prime factorization of 1364

1364 = 2 x 2 x 11 x 31

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

LCM = 462396 = 2 x 2 x 3 x 11 x 31 x 113

Step 4: Therefore, the least common multiple of 1356 and 1364 is 462396.