Least Common Multiple of 341 and 347

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 341 and 347 the smallest integer that is 118327 that is divisible by both numbers.

Least Common Multiple (LCM) of 341 and 347 is 118327.

LCM(341,347) = 118327

LCM of 341 and 347

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

LCM of:
and

Least Common Multiple of 341 and 347

LCM of 341 and 347 is 118327

Least common multiple can be found by multiplying the highest exponent prime factors of 341 and 347. First we will calculate the prime factors of 341 and 347.

Prime Factorization of 341


11 341
31 31
1

Prime factors of 341 are 11,31. Prime factorization of 341 in exponential form is:

341 = 111×311

Prime Factorization of 347


347 347
1

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

347 = 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 341 and 347.

LCM(341,347) = 111×311×3471
LCM(341,347) = 118327

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Factors of 347

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

1, 347

Least Common Multiple of 341 and 347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 341 and 347, than apply into the LCM equation.

GCF(341,347) = 1
LCM(341,347) = ( 341 × 347) / 1
LCM(341,347) = 118327 / 1
LCM(341,347) = 118327

Properties of LCM 341 and 347

(i) The LCM of 347 and 341 is associative

LCM of 341 and 347 = LCM of 347 and 341

Related Least Common Multiples of 341

Related Least Common Multiples of 347

Frequently Asked Questions on LCM of 341 and 347

1. What is the LCM of 341 and 347?

Answer: LCM of 341 and 347 is 118327.

2. What are the Factors of 341?

Answer: Factors of 341 are 1, 11, 31, 341. There are 4 integers that are factors of 341. The greatest factor of 341 is 341.

3. 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.

4. How to Find the LCM of 341 and 347?

Answer:

Least Common Multiple of 341 and 347 = 118327

Step 1: Find the prime factorization of 341

341 = 11 x 31

Step 2: Find the prime factorization of 347

347 = 347

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

LCM = 118327 = 11 x 31 x 347

Step 4: Therefore, the least common multiple of 341 and 347 is 118327.