Least Common Multiple of 349 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 349 and 355 the smallest integer that is 123895 that is divisible by both numbers.

Least Common Multiple (LCM) of 349 and 355 is 123895.

LCM(349,355) = 123895

LCM of 349 and 355

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

LCM of:
and

Least Common Multiple of 349 and 355

LCM of 349 and 355 is 123895

Least common multiple can be found by multiplying the highest exponent prime factors of 349 and 355. First we will calculate the prime factors of 349 and 355.

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 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 349 and 355.

LCM(349,355) = 51×711×3491
LCM(349,355) = 123895

Factors of 349

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

1, 349

Factors of 355

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

1, 5, 71, 355

Least Common Multiple of 349 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 349 and 355, than apply into the LCM equation.

GCF(349,355) = 1
LCM(349,355) = ( 349 × 355) / 1
LCM(349,355) = 123895 / 1
LCM(349,355) = 123895

Properties of LCM 349 and 355

(i) The LCM of 355 and 349 is associative

LCM of 349 and 355 = LCM of 355 and 349

Related Least Common Multiples of 349

Related Least Common Multiples of 355

Frequently Asked Questions on LCM of 349 and 355

1. What is the LCM of 349 and 355?

Answer: LCM of 349 and 355 is 123895.

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 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 349 and 355?

Answer:

Least Common Multiple of 349 and 355 = 123895

Step 1: Find the prime factorization of 349

349 = 349

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 = 123895 = 5 x 71 x 349

Step 4: Therefore, the least common multiple of 349 and 355 is 123895.