Least Common Multiple of 1357 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 1357 and 1364 the smallest integer that is 1850948 that is divisible by both numbers.

Least Common Multiple (LCM) of 1357 and 1364 is 1850948.

LCM(1357,1364) = 1850948

LCM of 1357 and 1364

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

LCM of:
and

Least Common Multiple of 1357 and 1364

LCM of 1357 and 1364 is 1850948

Least common multiple can be found by multiplying the highest exponent prime factors of 1357 and 1364. First we will calculate the prime factors of 1357 and 1364.

Prime Factorization of 1357


23 1357
59 59
1

Prime factors of 1357 are 23,59. Prime factorization of 1357 in exponential form is:

1357 = 231×591

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 1357 and 1364.

LCM(1357,1364) = 22×111×231×311×591
LCM(1357,1364) = 1850948

Factors of 1357

List of positive integer factors of 1357 that divides 1357 without a remainder.

1, 23, 59, 1357

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 1357 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 1357 and 1364, than apply into the LCM equation.

GCF(1357,1364) = 1
LCM(1357,1364) = ( 1357 × 1364) / 1
LCM(1357,1364) = 1850948 / 1
LCM(1357,1364) = 1850948

Properties of LCM 1357 and 1364

(i) The LCM of 1364 and 1357 is associative

LCM of 1357 and 1364 = LCM of 1364 and 1357

Related Least Common Multiples of 1357

Related Least Common Multiples of 1364

Frequently Asked Questions on LCM of 1357 and 1364

1. What is the LCM of 1357 and 1364?

Answer: LCM of 1357 and 1364 is 1850948.

2. What are the Factors of 1357?

Answer: Factors of 1357 are 1, 23, 59, 1357. There are 4 integers that are factors of 1357. The greatest factor of 1357 is 1357.

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 1357 and 1364?

Answer:

Least Common Multiple of 1357 and 1364 = 1850948

Step 1: Find the prime factorization of 1357

1357 = 23 x 59

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 = 1850948 = 2 x 2 x 11 x 23 x 31 x 59

Step 4: Therefore, the least common multiple of 1357 and 1364 is 1850948.