Least Common Multiple of 357 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 357 and 364 the smallest integer that is 18564 that is divisible by both numbers.

Least Common Multiple (LCM) of 357 and 364 is 18564.

LCM(357,364) = 18564

LCM of 357 and 364

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

LCM of:
and

Least Common Multiple of 357 and 364

LCM of 357 and 364 is 18564

Least common multiple can be found by multiplying the highest exponent prime factors of 357 and 364. First we will calculate the prime factors of 357 and 364.

Prime Factorization of 357


3 357
7 119
17 17
1

Prime factors of 357 are 3, 7,17. Prime factorization of 357 in exponential form is:

357 = 31×71×171

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 357 and 364.

LCM(357,364) = 22×31×71×131×171
LCM(357,364) = 18564

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

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 357 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 357 and 364, than apply into the LCM equation.

GCF(357,364) = 7
LCM(357,364) = ( 357 × 364) / 7
LCM(357,364) = 129948 / 7
LCM(357,364) = 18564

Properties of LCM 357 and 364

(i) The LCM of 364 and 357 is associative

LCM of 357 and 364 = LCM of 364 and 357

Related Least Common Multiples of 357

Related Least Common Multiples of 364

Frequently Asked Questions on LCM of 357 and 364

1. What is the LCM of 357 and 364?

Answer: LCM of 357 and 364 is 18564.

2. What are the Factors of 357?

Answer: Factors of 357 are 1, 3, 7, 17, 21, 51, 119, 357. There are 8 integers that are factors of 357. The greatest factor of 357 is 357.

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 357 and 364?

Answer:

Least Common Multiple of 357 and 364 = 18564

Step 1: Find the prime factorization of 357

357 = 3 x 7 x 17

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 = 18564 = 2 x 2 x 3 x 7 x 13 x 17

Step 4: Therefore, the least common multiple of 357 and 364 is 18564.