Least Common Multiple of 347 and 354

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 354 the smallest integer that is 122838 that is divisible by both numbers.

Least Common Multiple (LCM) of 347 and 354 is 122838.

LCM(347,354) = 122838

LCM of 347 and 354

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

LCM of:
and

Least Common Multiple of 347 and 354

LCM of 347 and 354 is 122838

Least common multiple can be found by multiplying the highest exponent prime factors of 347 and 354. First we will calculate the prime factors of 347 and 354.

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 354


2 354
3 177
59 59
1

Prime factors of 354 are 2, 3,59. Prime factorization of 354 in exponential form is:

354 = 21×31×591

Now multiplying the highest exponent prime factors to calculate the LCM of 347 and 354.

LCM(347,354) = 21×31×591×3471
LCM(347,354) = 122838

Factors of 347

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

1, 347

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Least Common Multiple of 347 and 354 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 354, than apply into the LCM equation.

GCF(347,354) = 1
LCM(347,354) = ( 347 × 354) / 1
LCM(347,354) = 122838 / 1
LCM(347,354) = 122838

Properties of LCM 347 and 354

(i) The LCM of 354 and 347 is associative

LCM of 347 and 354 = LCM of 354 and 347

Related Least Common Multiples of 347

Related Least Common Multiples of 354

Frequently Asked Questions on LCM of 347 and 354

1. What is the LCM of 347 and 354?

Answer: LCM of 347 and 354 is 122838.

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 354?

Answer: Factors of 354 are 1, 2, 3, 6, 59, 118, 177, 354. There are 8 integers that are factors of 354. The greatest factor of 354 is 354.

4. How to Find the LCM of 347 and 354?

Answer:

Least Common Multiple of 347 and 354 = 122838

Step 1: Find the prime factorization of 347

347 = 347

Step 2: Find the prime factorization of 354

354 = 2 x 3 x 59

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

LCM = 122838 = 2 x 3 x 59 x 347

Step 4: Therefore, the least common multiple of 347 and 354 is 122838.