Least Common Multiple of 351 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 351 and 354 the smallest integer that is 41418 that is divisible by both numbers.

Least Common Multiple (LCM) of 351 and 354 is 41418.

LCM(351,354) = 41418

LCM of 351 and 354

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

LCM of:
and

Least Common Multiple of 351 and 354

LCM of 351 and 354 is 41418

Least common multiple can be found by multiplying the highest exponent prime factors of 351 and 354. First we will calculate the prime factors of 351 and 354.

Prime Factorization of 351


3 351
3 117
3 39
13 13
1

Prime factors of 351 are 3,13. Prime factorization of 351 in exponential form is:

351 = 33×131

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 351 and 354.

LCM(351,354) = 21×33×131×591
LCM(351,354) = 41418

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

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 351 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 351 and 354, than apply into the LCM equation.

GCF(351,354) = 3
LCM(351,354) = ( 351 × 354) / 3
LCM(351,354) = 124254 / 3
LCM(351,354) = 41418

Properties of LCM 351 and 354

(i) The LCM of 354 and 351 is associative

LCM of 351 and 354 = LCM of 354 and 351

Related Least Common Multiples of 351

Related Least Common Multiples of 354

Frequently Asked Questions on LCM of 351 and 354

1. What is the LCM of 351 and 354?

Answer: LCM of 351 and 354 is 41418.

2. What are the Factors of 351?

Answer: Factors of 351 are 1, 3, 9, 13, 27, 39, 117, 351. There are 8 integers that are factors of 351. The greatest factor of 351 is 351.

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 351 and 354?

Answer:

Least Common Multiple of 351 and 354 = 41418

Step 1: Find the prime factorization of 351

351 = 3 x 3 x 3 x 13

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 = 41418 = 2 x 3 x 3 x 3 x 13 x 59

Step 4: Therefore, the least common multiple of 351 and 354 is 41418.