Least Common Multiple of 1352 and 1357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1352 and 1357 the smallest integer that is 1834664 that is divisible by both numbers.

Least Common Multiple (LCM) of 1352 and 1357 is 1834664.

LCM(1352,1357) = 1834664

LCM of 1352 and 1357

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

LCM of:
and

Least Common Multiple of 1352 and 1357

LCM of 1352 and 1357 is 1834664

Least common multiple can be found by multiplying the highest exponent prime factors of 1352 and 1357. First we will calculate the prime factors of 1352 and 1357.

Prime Factorization of 1352


2 1352
2 676
2 338
13 169
13 13
1

Prime factors of 1352 are 2,13. Prime factorization of 1352 in exponential form is:

1352 = 23×132

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1352 and 1357.

LCM(1352,1357) = 23×132×231×591
LCM(1352,1357) = 1834664

Factors of 1352

List of positive integer factors of 1352 that divides 1352 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 169, 338, 676, 1352

Factors of 1357

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

1, 23, 59, 1357

Least Common Multiple of 1352 and 1357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1352 and 1357, than apply into the LCM equation.

GCF(1352,1357) = 1
LCM(1352,1357) = ( 1352 × 1357) / 1
LCM(1352,1357) = 1834664 / 1
LCM(1352,1357) = 1834664

Properties of LCM 1352 and 1357

(i) The LCM of 1357 and 1352 is associative

LCM of 1352 and 1357 = LCM of 1357 and 1352

Related Least Common Multiples of 1352

Related Least Common Multiples of 1357

Frequently Asked Questions on LCM of 1352 and 1357

1. What is the LCM of 1352 and 1357?

Answer: LCM of 1352 and 1357 is 1834664.

2. What are the Factors of 1352?

Answer: Factors of 1352 are 1, 2, 4, 8, 13, 26, 52, 104, 169, 338, 676, 1352. There are 12 integers that are factors of 1352. The greatest factor of 1352 is 1352.

3. 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.

4. How to Find the LCM of 1352 and 1357?

Answer:

Least Common Multiple of 1352 and 1357 = 1834664

Step 1: Find the prime factorization of 1352

1352 = 2 x 2 x 2 x 13 x 13

Step 2: Find the prime factorization of 1357

1357 = 23 x 59

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

LCM = 1834664 = 2 x 2 x 2 x 13 x 13 x 23 x 59

Step 4: Therefore, the least common multiple of 1352 and 1357 is 1834664.