Least Common Multiple of 349 and 356

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 356 the smallest integer that is 124244 that is divisible by both numbers.

Least Common Multiple (LCM) of 349 and 356 is 124244.

LCM(349,356) = 124244

LCM of 349 and 356

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

LCM of:
and

Least Common Multiple of 349 and 356

LCM of 349 and 356 is 124244

Least common multiple can be found by multiplying the highest exponent prime factors of 349 and 356. First we will calculate the prime factors of 349 and 356.

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 356


2 356
2 178
89 89
1

Prime factors of 356 are 2,89. Prime factorization of 356 in exponential form is:

356 = 22×891

Now multiplying the highest exponent prime factors to calculate the LCM of 349 and 356.

LCM(349,356) = 22×891×3491
LCM(349,356) = 124244

Factors of 349

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

1, 349

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Least Common Multiple of 349 and 356 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 356, than apply into the LCM equation.

GCF(349,356) = 1
LCM(349,356) = ( 349 × 356) / 1
LCM(349,356) = 124244 / 1
LCM(349,356) = 124244

Properties of LCM 349 and 356

(i) The LCM of 356 and 349 is associative

LCM of 349 and 356 = LCM of 356 and 349

Related Least Common Multiples of 349

Related Least Common Multiples of 356

Frequently Asked Questions on LCM of 349 and 356

1. What is the LCM of 349 and 356?

Answer: LCM of 349 and 356 is 124244.

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 356?

Answer: Factors of 356 are 1, 2, 4, 89, 178, 356. There are 6 integers that are factors of 356. The greatest factor of 356 is 356.

4. How to Find the LCM of 349 and 356?

Answer:

Least Common Multiple of 349 and 356 = 124244

Step 1: Find the prime factorization of 349

349 = 349

Step 2: Find the prime factorization of 356

356 = 2 x 2 x 89

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

LCM = 124244 = 2 x 2 x 89 x 349

Step 4: Therefore, the least common multiple of 349 and 356 is 124244.