Least Common Multiple of 347 and 351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 347 and 351 the smallest integer that is 121797 that is divisible by both numbers.

Least Common Multiple (LCM) of 347 and 351 is 121797.

LCM(347,351) = 121797

LCM of 347 and 351

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

LCM of:
and

Least Common Multiple of 347 and 351

LCM of 347 and 351 is 121797

Least common multiple can be found by multiplying the highest exponent prime factors of 347 and 351. First we will calculate the prime factors of 347 and 351.

Prime Factorization of 347


347 347
1

Prime factors of 347 are 347. Prime factorization of 347 in exponential form is:

347 = 3471

Prime Factorization of 351


3 351
3 117
3 39
13 13
1

Prime factors of 351 are 3,13. Prime factorization of 351 in exponential form is:

351 = 33×131

Now multiplying the highest exponent prime factors to calculate the LCM of 347 and 351.

LCM(347,351) = 33×131×3471
LCM(347,351) = 121797

Factors of 347

List of positive integer factors of 347 that divides 347 without a remainder.

1, 347

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Least Common Multiple of 347 and 351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 347 and 351, than apply into the LCM equation.

GCF(347,351) = 1
LCM(347,351) = ( 347 × 351) / 1
LCM(347,351) = 121797 / 1
LCM(347,351) = 121797

Properties of LCM 347 and 351

(i) The LCM of 351 and 347 is associative

LCM of 347 and 351 = LCM of 351 and 347

Related Least Common Multiples of 347

Related Least Common Multiples of 351

Frequently Asked Questions on LCM of 347 and 351

1. What is the LCM of 347 and 351?

Answer: LCM of 347 and 351 is 121797.

2. What are the Factors of 347?

Answer: Factors of 347 are 1, 347. There are 2 integers that are factors of 347. The greatest factor of 347 is 347.

3. What are the Factors of 351?

Answer: Factors of 351 are 1, 3, 9, 13, 27, 39, 117, 351. There are 8 integers that are factors of 351. The greatest factor of 351 is 351.

4. How to Find the LCM of 347 and 351?

Answer:

Least Common Multiple of 347 and 351 = 121797

Step 1: Find the prime factorization of 347

347 = 347

Step 2: Find the prime factorization of 351

351 = 3 x 3 x 3 x 13

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

LCM = 121797 = 3 x 3 x 3 x 13 x 347

Step 4: Therefore, the least common multiple of 347 and 351 is 121797.