Least Common Multiple of 1348 and 1355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1348 and 1355 the smallest integer that is 1826540 that is divisible by both numbers.

Least Common Multiple (LCM) of 1348 and 1355 is 1826540.

LCM(1348,1355) = 1826540

LCM of 1348 and 1355

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

LCM of:
and

Least Common Multiple of 1348 and 1355

LCM of 1348 and 1355 is 1826540

Least common multiple can be found by multiplying the highest exponent prime factors of 1348 and 1355. First we will calculate the prime factors of 1348 and 1355.

Prime Factorization of 1348


2 1348
2 674
337 337
1

Prime factors of 1348 are 2,337. Prime factorization of 1348 in exponential form is:

1348 = 22×3371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1348 and 1355.

LCM(1348,1355) = 22×51×2711×3371
LCM(1348,1355) = 1826540

Factors of 1348

List of positive integer factors of 1348 that divides 1348 without a remainder.

1, 2, 4, 337, 674, 1348

Factors of 1355

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

1, 5, 271, 1355

Least Common Multiple of 1348 and 1355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1348 and 1355, than apply into the LCM equation.

GCF(1348,1355) = 1
LCM(1348,1355) = ( 1348 × 1355) / 1
LCM(1348,1355) = 1826540 / 1
LCM(1348,1355) = 1826540

Properties of LCM 1348 and 1355

(i) The LCM of 1355 and 1348 is associative

LCM of 1348 and 1355 = LCM of 1355 and 1348

Related Least Common Multiples of 1348

Related Least Common Multiples of 1355

Frequently Asked Questions on LCM of 1348 and 1355

1. What is the LCM of 1348 and 1355?

Answer: LCM of 1348 and 1355 is 1826540.

2. What are the Factors of 1348?

Answer: Factors of 1348 are 1, 2, 4, 337, 674, 1348. There are 6 integers that are factors of 1348. The greatest factor of 1348 is 1348.

3. 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.

4. How to Find the LCM of 1348 and 1355?

Answer:

Least Common Multiple of 1348 and 1355 = 1826540

Step 1: Find the prime factorization of 1348

1348 = 2 x 2 x 337

Step 2: Find the prime factorization of 1355

1355 = 5 x 271

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

LCM = 1826540 = 2 x 2 x 5 x 271 x 337

Step 4: Therefore, the least common multiple of 1348 and 1355 is 1826540.