Least Common Multiple of 346 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 346 and 354 the smallest integer that is 61242 that is divisible by both numbers.

Least Common Multiple (LCM) of 346 and 354 is 61242.

LCM(346,354) = 61242

LCM of 346 and 354

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

LCM of:
and

Least Common Multiple of 346 and 354

LCM of 346 and 354 is 61242

Least common multiple can be found by multiplying the highest exponent prime factors of 346 and 354. First we will calculate the prime factors of 346 and 354.

Prime Factorization of 346


2 346
173 173
1

Prime factors of 346 are 2,173. Prime factorization of 346 in exponential form is:

346 = 21×1731

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 346 and 354.

LCM(346,354) = 21×31×591×1731
LCM(346,354) = 61242

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1, 2, 173, 346

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 346 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 346 and 354, than apply into the LCM equation.

GCF(346,354) = 2
LCM(346,354) = ( 346 × 354) / 2
LCM(346,354) = 122484 / 2
LCM(346,354) = 61242

Properties of LCM 346 and 354

(i) The LCM of 354 and 346 is associative

LCM of 346 and 354 = LCM of 354 and 346

Related Least Common Multiples of 346

Related Least Common Multiples of 354

Frequently Asked Questions on LCM of 346 and 354

1. What is the LCM of 346 and 354?

Answer: LCM of 346 and 354 is 61242.

2. What are the Factors of 346?

Answer: Factors of 346 are 1, 2, 173, 346. There are 4 integers that are factors of 346. The greatest factor of 346 is 346.

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 346 and 354?

Answer:

Least Common Multiple of 346 and 354 = 61242

Step 1: Find the prime factorization of 346

346 = 2 x 173

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 = 61242 = 2 x 3 x 59 x 173

Step 4: Therefore, the least common multiple of 346 and 354 is 61242.