Least Common Multiple of 347 and 349

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 349 the smallest integer that is 121103 that is divisible by both numbers.

Least Common Multiple (LCM) of 347 and 349 is 121103.

LCM(347,349) = 121103

LCM of 347 and 349

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

LCM of:
and

Least Common Multiple of 347 and 349

LCM of 347 and 349 is 121103

Least common multiple can be found by multiplying the highest exponent prime factors of 347 and 349. First we will calculate the prime factors of 347 and 349.

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 349


349 349
1

Prime factors of 349 are 349. Prime factorization of 349 in exponential form is:

349 = 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 347 and 349.

LCM(347,349) = 3471×3491
LCM(347,349) = 121103

Factors of 347

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

1, 347

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1, 349

Least Common Multiple of 347 and 349 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 349, than apply into the LCM equation.

GCF(347,349) = 1
LCM(347,349) = ( 347 × 349) / 1
LCM(347,349) = 121103 / 1
LCM(347,349) = 121103

Properties of LCM 347 and 349

(i) The LCM of 349 and 347 is associative

LCM of 347 and 349 = LCM of 349 and 347

Related Least Common Multiples of 347

Related Least Common Multiples of 349

Frequently Asked Questions on LCM of 347 and 349

1. What is the LCM of 347 and 349?

Answer: LCM of 347 and 349 is 121103.

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 349?

Answer: Factors of 349 are 1, 349. There are 2 integers that are factors of 349. The greatest factor of 349 is 349.

4. How to Find the LCM of 347 and 349?

Answer:

Least Common Multiple of 347 and 349 = 121103

Step 1: Find the prime factorization of 347

347 = 347

Step 2: Find the prime factorization of 349

349 = 349

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

LCM = 121103 = 347 x 349

Step 4: Therefore, the least common multiple of 347 and 349 is 121103.