Least Common Multiple of 1340 and 1348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1340 and 1348 the smallest integer that is 451580 that is divisible by both numbers.

Least Common Multiple (LCM) of 1340 and 1348 is 451580.

LCM(1340,1348) = 451580

LCM of 1340 and 1348

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

LCM of:
and

Least Common Multiple of 1340 and 1348

LCM of 1340 and 1348 is 451580

Least common multiple can be found by multiplying the highest exponent prime factors of 1340 and 1348. First we will calculate the prime factors of 1340 and 1348.

Prime Factorization of 1340


2 1340
2 670
5 335
67 67
1

Prime factors of 1340 are 2, 5,67. Prime factorization of 1340 in exponential form is:

1340 = 22×51×671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1340 and 1348.

LCM(1340,1348) = 22×51×671×3371
LCM(1340,1348) = 451580

Factors of 1340

List of positive integer factors of 1340 that divides 1340 without a remainder.

1, 2, 4, 5, 10, 20, 67, 134, 268, 335, 670, 1340

Factors of 1348

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

1, 2, 4, 337, 674, 1348

Least Common Multiple of 1340 and 1348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1340 and 1348, than apply into the LCM equation.

GCF(1340,1348) = 4
LCM(1340,1348) = ( 1340 × 1348) / 4
LCM(1340,1348) = 1806320 / 4
LCM(1340,1348) = 451580

Properties of LCM 1340 and 1348

(i) The LCM of 1348 and 1340 is associative

LCM of 1340 and 1348 = LCM of 1348 and 1340

Related Least Common Multiples of 1340

Related Least Common Multiples of 1348

Frequently Asked Questions on LCM of 1340 and 1348

1. What is the LCM of 1340 and 1348?

Answer: LCM of 1340 and 1348 is 451580.

2. What are the Factors of 1340?

Answer: Factors of 1340 are 1, 2, 4, 5, 10, 20, 67, 134, 268, 335, 670, 1340. There are 12 integers that are factors of 1340. The greatest factor of 1340 is 1340.

3. 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.

4. How to Find the LCM of 1340 and 1348?

Answer:

Least Common Multiple of 1340 and 1348 = 451580

Step 1: Find the prime factorization of 1340

1340 = 2 x 2 x 5 x 67

Step 2: Find the prime factorization of 1348

1348 = 2 x 2 x 337

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

LCM = 451580 = 2 x 2 x 5 x 67 x 337

Step 4: Therefore, the least common multiple of 1340 and 1348 is 451580.