Least Common Multiple of 1356 and 1361

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 1361 the smallest integer that is 1845516 that is divisible by both numbers.

Least Common Multiple (LCM) of 1356 and 1361 is 1845516.

LCM(1356,1361) = 1845516

LCM of 1356 and 1361

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

LCM of:
and

Least Common Multiple of 1356 and 1361

LCM of 1356 and 1361 is 1845516

Least common multiple can be found by multiplying the highest exponent prime factors of 1356 and 1361. First we will calculate the prime factors of 1356 and 1361.

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 1361


1361 1361
1

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 1356 and 1361.

LCM(1356,1361) = 22×31×1131×13611
LCM(1356,1361) = 1845516

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 1361

List of positive integer factors of 1361 that divides 1361 without a remainder.

1, 1361

Least Common Multiple of 1356 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 1356 and 1361, than apply into the LCM equation.

GCF(1356,1361) = 1
LCM(1356,1361) = ( 1356 × 1361) / 1
LCM(1356,1361) = 1845516 / 1
LCM(1356,1361) = 1845516

Properties of LCM 1356 and 1361

(i) The LCM of 1361 and 1356 is associative

LCM of 1356 and 1361 = LCM of 1361 and 1356

Related Least Common Multiples of 1356

Related Least Common Multiples of 1361

Frequently Asked Questions on LCM of 1356 and 1361

1. What is the LCM of 1356 and 1361?

Answer: LCM of 1356 and 1361 is 1845516.

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 1361?

Answer: Factors of 1361 are 1, 1361. There are 2 integers that are factors of 1361. The greatest factor of 1361 is 1361.

4. How to Find the LCM of 1356 and 1361?

Answer:

Least Common Multiple of 1356 and 1361 = 1845516

Step 1: Find the prime factorization of 1356

1356 = 2 x 2 x 3 x 113

Step 2: Find the prime factorization of 1361

1361 = 1361

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

LCM = 1845516 = 2 x 2 x 3 x 113 x 1361

Step 4: Therefore, the least common multiple of 1356 and 1361 is 1845516.