Least Common Multiple of 351 and 355

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 355 the smallest integer that is 124605 that is divisible by both numbers.

Least Common Multiple (LCM) of 351 and 355 is 124605.

LCM(351,355) = 124605

LCM of 351 and 355

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

LCM of:
and

Least Common Multiple of 351 and 355

LCM of 351 and 355 is 124605

Least common multiple can be found by multiplying the highest exponent prime factors of 351 and 355. First we will calculate the prime factors of 351 and 355.

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 355


5 355
71 71
1

Prime factors of 355 are 5,71. Prime factorization of 355 in exponential form is:

355 = 51×711

Now multiplying the highest exponent prime factors to calculate the LCM of 351 and 355.

LCM(351,355) = 33×51×131×711
LCM(351,355) = 124605

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 355

List of positive integer factors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Least Common Multiple of 351 and 355 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 355, than apply into the LCM equation.

GCF(351,355) = 1
LCM(351,355) = ( 351 × 355) / 1
LCM(351,355) = 124605 / 1
LCM(351,355) = 124605

Properties of LCM 351 and 355

(i) The LCM of 355 and 351 is associative

LCM of 351 and 355 = LCM of 355 and 351

Related Least Common Multiples of 351

Related Least Common Multiples of 355

Frequently Asked Questions on LCM of 351 and 355

1. What is the LCM of 351 and 355?

Answer: LCM of 351 and 355 is 124605.

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 355?

Answer: Factors of 355 are 1, 5, 71, 355. There are 4 integers that are factors of 355. The greatest factor of 355 is 355.

4. How to Find the LCM of 351 and 355?

Answer:

Least Common Multiple of 351 and 355 = 124605

Step 1: Find the prime factorization of 351

351 = 3 x 3 x 3 x 13

Step 2: Find the prime factorization of 355

355 = 5 x 71

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

LCM = 124605 = 3 x 3 x 3 x 5 x 13 x 71

Step 4: Therefore, the least common multiple of 351 and 355 is 124605.