Least Common Multiple of 359 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 359 and 364 the smallest integer that is 130676 that is divisible by both numbers.

Least Common Multiple (LCM) of 359 and 364 is 130676.

LCM(359,364) = 130676

LCM of 359 and 364

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

LCM of:
and

Least Common Multiple of 359 and 364

LCM of 359 and 364 is 130676

Least common multiple can be found by multiplying the highest exponent prime factors of 359 and 364. First we will calculate the prime factors of 359 and 364.

Prime Factorization of 359


359 359
1

Prime factors of 359 are 359. Prime factorization of 359 in exponential form is:

359 = 3591

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 359 and 364.

LCM(359,364) = 22×71×131×3591
LCM(359,364) = 130676

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1, 359

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 359 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 359 and 364, than apply into the LCM equation.

GCF(359,364) = 1
LCM(359,364) = ( 359 × 364) / 1
LCM(359,364) = 130676 / 1
LCM(359,364) = 130676

Properties of LCM 359 and 364

(i) The LCM of 364 and 359 is associative

LCM of 359 and 364 = LCM of 364 and 359

Related Least Common Multiples of 359

Related Least Common Multiples of 364

Frequently Asked Questions on LCM of 359 and 364

1. What is the LCM of 359 and 364?

Answer: LCM of 359 and 364 is 130676.

2. What are the Factors of 359?

Answer: Factors of 359 are 1, 359. There are 2 integers that are factors of 359. The greatest factor of 359 is 359.

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 359 and 364?

Answer:

Least Common Multiple of 359 and 364 = 130676

Step 1: Find the prime factorization of 359

359 = 359

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 = 130676 = 2 x 2 x 7 x 13 x 359

Step 4: Therefore, the least common multiple of 359 and 364 is 130676.