Least Common Multiple of 349 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 349 and 354 the smallest integer that is 123546 that is divisible by both numbers.

Least Common Multiple (LCM) of 349 and 354 is 123546.

LCM(349,354) = 123546

LCM of 349 and 354

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

LCM of:
and

Least Common Multiple of 349 and 354

LCM of 349 and 354 is 123546

Least common multiple can be found by multiplying the highest exponent prime factors of 349 and 354. First we will calculate the prime factors of 349 and 354.

Prime Factorization of 349


349 349
1

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

349 = 3491

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 349 and 354.

LCM(349,354) = 21×31×591×3491
LCM(349,354) = 123546

Factors of 349

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

1, 349

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 349 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 349 and 354, than apply into the LCM equation.

GCF(349,354) = 1
LCM(349,354) = ( 349 × 354) / 1
LCM(349,354) = 123546 / 1
LCM(349,354) = 123546

Properties of LCM 349 and 354

(i) The LCM of 354 and 349 is associative

LCM of 349 and 354 = LCM of 354 and 349

Related Least Common Multiples of 349

Related Least Common Multiples of 354

Frequently Asked Questions on LCM of 349 and 354

1. What is the LCM of 349 and 354?

Answer: LCM of 349 and 354 is 123546.

2. 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.

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 349 and 354?

Answer:

Least Common Multiple of 349 and 354 = 123546

Step 1: Find the prime factorization of 349

349 = 349

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 = 123546 = 2 x 3 x 59 x 349

Step 4: Therefore, the least common multiple of 349 and 354 is 123546.