Least Common Multiple of 1340 and 1347

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 1347 the smallest integer that is 1804980 that is divisible by both numbers.

Least Common Multiple (LCM) of 1340 and 1347 is 1804980.

LCM(1340,1347) = 1804980

LCM of 1340 and 1347

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

LCM of:
and

Least Common Multiple of 1340 and 1347

LCM of 1340 and 1347 is 1804980

Least common multiple can be found by multiplying the highest exponent prime factors of 1340 and 1347. First we will calculate the prime factors of 1340 and 1347.

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 1347


3 1347
449 449
1

Prime factors of 1347 are 3,449. Prime factorization of 1347 in exponential form is:

1347 = 31×4491

Now multiplying the highest exponent prime factors to calculate the LCM of 1340 and 1347.

LCM(1340,1347) = 22×31×51×671×4491
LCM(1340,1347) = 1804980

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 1347

List of positive integer factors of 1347 that divides 1347 without a remainder.

1, 3, 449, 1347

Least Common Multiple of 1340 and 1347 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 1347, than apply into the LCM equation.

GCF(1340,1347) = 1
LCM(1340,1347) = ( 1340 × 1347) / 1
LCM(1340,1347) = 1804980 / 1
LCM(1340,1347) = 1804980

Properties of LCM 1340 and 1347

(i) The LCM of 1347 and 1340 is associative

LCM of 1340 and 1347 = LCM of 1347 and 1340

Related Least Common Multiples of 1340

Related Least Common Multiples of 1347

Frequently Asked Questions on LCM of 1340 and 1347

1. What is the LCM of 1340 and 1347?

Answer: LCM of 1340 and 1347 is 1804980.

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 1347?

Answer: Factors of 1347 are 1, 3, 449, 1347. There are 4 integers that are factors of 1347. The greatest factor of 1347 is 1347.

4. How to Find the LCM of 1340 and 1347?

Answer:

Least Common Multiple of 1340 and 1347 = 1804980

Step 1: Find the prime factorization of 1340

1340 = 2 x 2 x 5 x 67

Step 2: Find the prime factorization of 1347

1347 = 3 x 449

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

LCM = 1804980 = 2 x 2 x 3 x 5 x 67 x 449

Step 4: Therefore, the least common multiple of 1340 and 1347 is 1804980.