Least Common Multiple of 341 and 348

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 348 the smallest integer that is 118668 that is divisible by both numbers.

Least Common Multiple (LCM) of 341 and 348 is 118668.

LCM(341,348) = 118668

LCM of 341 and 348

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

LCM of:
and

Least Common Multiple of 341 and 348

LCM of 341 and 348 is 118668

Least common multiple can be found by multiplying the highest exponent prime factors of 341 and 348. First we will calculate the prime factors of 341 and 348.

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 348


2 348
2 174
3 87
29 29
1

Prime factors of 348 are 2, 3,29. Prime factorization of 348 in exponential form is:

348 = 22×31×291

Now multiplying the highest exponent prime factors to calculate the LCM of 341 and 348.

LCM(341,348) = 22×31×111×291×311
LCM(341,348) = 118668

Factors of 341

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

1, 11, 31, 341

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Least Common Multiple of 341 and 348 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 348, than apply into the LCM equation.

GCF(341,348) = 1
LCM(341,348) = ( 341 × 348) / 1
LCM(341,348) = 118668 / 1
LCM(341,348) = 118668

Properties of LCM 341 and 348

(i) The LCM of 348 and 341 is associative

LCM of 341 and 348 = LCM of 348 and 341

Related Least Common Multiples of 341

Related Least Common Multiples of 348

Frequently Asked Questions on LCM of 341 and 348

1. What is the LCM of 341 and 348?

Answer: LCM of 341 and 348 is 118668.

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 348?

Answer: Factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348. There are 12 integers that are factors of 348. The greatest factor of 348 is 348.

4. How to Find the LCM of 341 and 348?

Answer:

Least Common Multiple of 341 and 348 = 118668

Step 1: Find the prime factorization of 341

341 = 11 x 31

Step 2: Find the prime factorization of 348

348 = 2 x 2 x 3 x 29

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

LCM = 118668 = 2 x 2 x 3 x 11 x 29 x 31

Step 4: Therefore, the least common multiple of 341 and 348 is 118668.