Least Common Multiple of 1355 and 1362

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 1362 the smallest integer that is 1845510 that is divisible by both numbers.

Least Common Multiple (LCM) of 1355 and 1362 is 1845510.

LCM(1355,1362) = 1845510

LCM of 1355 and 1362

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

LCM of:
and

Least Common Multiple of 1355 and 1362

LCM of 1355 and 1362 is 1845510

Least common multiple can be found by multiplying the highest exponent prime factors of 1355 and 1362. First we will calculate the prime factors of 1355 and 1362.

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 1362


2 1362
3 681
227 227
1

Prime factors of 1362 are 2, 3,227. Prime factorization of 1362 in exponential form is:

1362 = 21×31×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 1355 and 1362.

LCM(1355,1362) = 21×31×51×2271×2711
LCM(1355,1362) = 1845510

Factors of 1355

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

1, 5, 271, 1355

Factors of 1362

List of positive integer factors of 1362 that divides 1362 without a remainder.

1, 2, 3, 6, 227, 454, 681, 1362

Least Common Multiple of 1355 and 1362 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 1362, than apply into the LCM equation.

GCF(1355,1362) = 1
LCM(1355,1362) = ( 1355 × 1362) / 1
LCM(1355,1362) = 1845510 / 1
LCM(1355,1362) = 1845510

Properties of LCM 1355 and 1362

(i) The LCM of 1362 and 1355 is associative

LCM of 1355 and 1362 = LCM of 1362 and 1355

Related Least Common Multiples of 1355

Related Least Common Multiples of 1362

Frequently Asked Questions on LCM of 1355 and 1362

1. What is the LCM of 1355 and 1362?

Answer: LCM of 1355 and 1362 is 1845510.

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 1362?

Answer: Factors of 1362 are 1, 2, 3, 6, 227, 454, 681, 1362. There are 8 integers that are factors of 1362. The greatest factor of 1362 is 1362.

4. How to Find the LCM of 1355 and 1362?

Answer:

Least Common Multiple of 1355 and 1362 = 1845510

Step 1: Find the prime factorization of 1355

1355 = 5 x 271

Step 2: Find the prime factorization of 1362

1362 = 2 x 3 x 227

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

LCM = 1845510 = 2 x 3 x 5 x 227 x 271

Step 4: Therefore, the least common multiple of 1355 and 1362 is 1845510.