Least Common Multiple of 1340 and 1345

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 1345 the smallest integer that is 360460 that is divisible by both numbers.

Least Common Multiple (LCM) of 1340 and 1345 is 360460.

LCM(1340,1345) = 360460

LCM of 1340 and 1345

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

LCM of:
and

Least Common Multiple of 1340 and 1345

LCM of 1340 and 1345 is 360460

Least common multiple can be found by multiplying the highest exponent prime factors of 1340 and 1345. First we will calculate the prime factors of 1340 and 1345.

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 1345


5 1345
269 269
1

Prime factors of 1345 are 5,269. Prime factorization of 1345 in exponential form is:

1345 = 51×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 1340 and 1345.

LCM(1340,1345) = 22×51×671×2691
LCM(1340,1345) = 360460

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 1345

List of positive integer factors of 1345 that divides 1345 without a remainder.

1, 5, 269, 1345

Least Common Multiple of 1340 and 1345 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 1345, than apply into the LCM equation.

GCF(1340,1345) = 5
LCM(1340,1345) = ( 1340 × 1345) / 5
LCM(1340,1345) = 1802300 / 5
LCM(1340,1345) = 360460

Properties of LCM 1340 and 1345

(i) The LCM of 1345 and 1340 is associative

LCM of 1340 and 1345 = LCM of 1345 and 1340

Related Least Common Multiples of 1340

Related Least Common Multiples of 1345

Frequently Asked Questions on LCM of 1340 and 1345

1. What is the LCM of 1340 and 1345?

Answer: LCM of 1340 and 1345 is 360460.

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 1345?

Answer: Factors of 1345 are 1, 5, 269, 1345. There are 4 integers that are factors of 1345. The greatest factor of 1345 is 1345.

4. How to Find the LCM of 1340 and 1345?

Answer:

Least Common Multiple of 1340 and 1345 = 360460

Step 1: Find the prime factorization of 1340

1340 = 2 x 2 x 5 x 67

Step 2: Find the prime factorization of 1345

1345 = 5 x 269

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

LCM = 360460 = 2 x 2 x 5 x 67 x 269

Step 4: Therefore, the least common multiple of 1340 and 1345 is 360460.