Least Common Multiple of 1355 and 1359

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1355 and 1359 the smallest integer that is 1841445 that is divisible by both numbers.

Least Common Multiple (LCM) of 1355 and 1359 is 1841445.

LCM(1355,1359) = 1841445

LCM of 1355 and 1359

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

LCM of:
and

Least Common Multiple of 1355 and 1359

LCM of 1355 and 1359 is 1841445

Least common multiple can be found by multiplying the highest exponent prime factors of 1355 and 1359. First we will calculate the prime factors of 1355 and 1359.

Prime Factorization of 1355


5 1355
271 271
1

Prime factors of 1355 are 5,271. Prime factorization of 1355 in exponential form is:

1355 = 51×2711

Prime Factorization of 1359


3 1359
3 453
151 151
1

Prime factors of 1359 are 3,151. Prime factorization of 1359 in exponential form is:

1359 = 32×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 1355 and 1359.

LCM(1355,1359) = 32×51×1511×2711
LCM(1355,1359) = 1841445

Factors of 1355

List of positive integer factors of 1355 that divides 1355 without a remainder.

1, 5, 271, 1355

Factors of 1359

List of positive integer factors of 1359 that divides 1359 without a remainder.

1, 3, 9, 151, 453, 1359

Least Common Multiple of 1355 and 1359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1355 and 1359, than apply into the LCM equation.

GCF(1355,1359) = 1
LCM(1355,1359) = ( 1355 × 1359) / 1
LCM(1355,1359) = 1841445 / 1
LCM(1355,1359) = 1841445

Properties of LCM 1355 and 1359

(i) The LCM of 1359 and 1355 is associative

LCM of 1355 and 1359 = LCM of 1359 and 1355

Related Least Common Multiples of 1355

Related Least Common Multiples of 1359

Frequently Asked Questions on LCM of 1355 and 1359

1. What is the LCM of 1355 and 1359?

Answer: LCM of 1355 and 1359 is 1841445.

2. What are the Factors of 1355?

Answer: Factors of 1355 are 1, 5, 271, 1355. There are 4 integers that are factors of 1355. The greatest factor of 1355 is 1355.

3. What are the Factors of 1359?

Answer: Factors of 1359 are 1, 3, 9, 151, 453, 1359. There are 6 integers that are factors of 1359. The greatest factor of 1359 is 1359.

4. How to Find the LCM of 1355 and 1359?

Answer:

Least Common Multiple of 1355 and 1359 = 1841445

Step 1: Find the prime factorization of 1355

1355 = 5 x 271

Step 2: Find the prime factorization of 1359

1359 = 3 x 3 x 151

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

LCM = 1841445 = 3 x 3 x 5 x 151 x 271

Step 4: Therefore, the least common multiple of 1355 and 1359 is 1841445.