Least Common Multiple of 356 and 364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 356 and 364 the smallest integer that is 32396 that is divisible by both numbers.

Least Common Multiple (LCM) of 356 and 364 is 32396.

LCM(356,364) = 32396

LCM of 356 and 364

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

LCM of:
and

Least Common Multiple of 356 and 364

LCM of 356 and 364 is 32396

Least common multiple can be found by multiplying the highest exponent prime factors of 356 and 364. First we will calculate the prime factors of 356 and 364.

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

Prime Factorization of 364


2 364
2 182
7 91
13 13
1

Prime factors of 364 are 2, 7,13. Prime factorization of 364 in exponential form is:

364 = 22×71×131

Now multiplying the highest exponent prime factors to calculate the LCM of 356 and 364.

LCM(356,364) = 22×71×131×891
LCM(356,364) = 32396

Factors of 356

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

1, 2, 4, 89, 178, 356

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Least Common Multiple of 356 and 364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 356 and 364, than apply into the LCM equation.

GCF(356,364) = 4
LCM(356,364) = ( 356 × 364) / 4
LCM(356,364) = 129584 / 4
LCM(356,364) = 32396

Properties of LCM 356 and 364

(i) The LCM of 364 and 356 is associative

LCM of 356 and 364 = LCM of 364 and 356

Related Least Common Multiples of 356

Related Least Common Multiples of 364

Frequently Asked Questions on LCM of 356 and 364

1. What is the LCM of 356 and 364?

Answer: LCM of 356 and 364 is 32396.

2. 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.

3. What are the Factors of 364?

Answer: Factors of 364 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364. There are 12 integers that are factors of 364. The greatest factor of 364 is 364.

4. How to Find the LCM of 356 and 364?

Answer:

Least Common Multiple of 356 and 364 = 32396

Step 1: Find the prime factorization of 356

356 = 2 x 2 x 89

Step 2: Find the prime factorization of 364

364 = 2 x 2 x 7 x 13

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

LCM = 32396 = 2 x 2 x 7 x 13 x 89

Step 4: Therefore, the least common multiple of 356 and 364 is 32396.