Least Common Multiple of 1347 and 1351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1347 and 1351 the smallest integer that is 1819797 that is divisible by both numbers.

Least Common Multiple (LCM) of 1347 and 1351 is 1819797.

LCM(1347,1351) = 1819797

LCM of 1347 and 1351

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

LCM of:
and

Least Common Multiple of 1347 and 1351

LCM of 1347 and 1351 is 1819797

Least common multiple can be found by multiplying the highest exponent prime factors of 1347 and 1351. First we will calculate the prime factors of 1347 and 1351.

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

Prime Factorization of 1351


7 1351
193 193
1

Prime factors of 1351 are 7,193. Prime factorization of 1351 in exponential form is:

1351 = 71×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 1347 and 1351.

LCM(1347,1351) = 31×71×1931×4491
LCM(1347,1351) = 1819797

Factors of 1347

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

1, 3, 449, 1347

Factors of 1351

List of positive integer factors of 1351 that divides 1351 without a remainder.

1, 7, 193, 1351

Least Common Multiple of 1347 and 1351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1347 and 1351, than apply into the LCM equation.

GCF(1347,1351) = 1
LCM(1347,1351) = ( 1347 × 1351) / 1
LCM(1347,1351) = 1819797 / 1
LCM(1347,1351) = 1819797

Properties of LCM 1347 and 1351

(i) The LCM of 1351 and 1347 is associative

LCM of 1347 and 1351 = LCM of 1351 and 1347

Related Least Common Multiples of 1347

Related Least Common Multiples of 1351

Frequently Asked Questions on LCM of 1347 and 1351

1. What is the LCM of 1347 and 1351?

Answer: LCM of 1347 and 1351 is 1819797.

2. 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.

3. What are the Factors of 1351?

Answer: Factors of 1351 are 1, 7, 193, 1351. There are 4 integers that are factors of 1351. The greatest factor of 1351 is 1351.

4. How to Find the LCM of 1347 and 1351?

Answer:

Least Common Multiple of 1347 and 1351 = 1819797

Step 1: Find the prime factorization of 1347

1347 = 3 x 449

Step 2: Find the prime factorization of 1351

1351 = 7 x 193

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

LCM = 1819797 = 3 x 7 x 193 x 449

Step 4: Therefore, the least common multiple of 1347 and 1351 is 1819797.