Least Common Multiple of 358 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 358 and 364 the smallest integer that is 65156 that is divisible by both numbers.

Least Common Multiple (LCM) of 358 and 364 is 65156.

LCM(358,364) = 65156

LCM of 358 and 364

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

LCM of:
and

Least Common Multiple of 358 and 364

LCM of 358 and 364 is 65156

Least common multiple can be found by multiplying the highest exponent prime factors of 358 and 364. First we will calculate the prime factors of 358 and 364.

Prime Factorization of 358


2 358
179 179
1

Prime factors of 358 are 2,179. Prime factorization of 358 in exponential form is:

358 = 21×1791

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 358 and 364.

LCM(358,364) = 22×71×131×1791
LCM(358,364) = 65156

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1, 2, 179, 358

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 358 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 358 and 364, than apply into the LCM equation.

GCF(358,364) = 2
LCM(358,364) = ( 358 × 364) / 2
LCM(358,364) = 130312 / 2
LCM(358,364) = 65156

Properties of LCM 358 and 364

(i) The LCM of 364 and 358 is associative

LCM of 358 and 364 = LCM of 364 and 358

Related Least Common Multiples of 358

Related Least Common Multiples of 364

Frequently Asked Questions on LCM of 358 and 364

1. What is the LCM of 358 and 364?

Answer: LCM of 358 and 364 is 65156.

2. What are the Factors of 358?

Answer: Factors of 358 are 1, 2, 179, 358. There are 4 integers that are factors of 358. The greatest factor of 358 is 358.

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 358 and 364?

Answer:

Least Common Multiple of 358 and 364 = 65156

Step 1: Find the prime factorization of 358

358 = 2 x 179

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 = 65156 = 2 x 2 x 7 x 13 x 179

Step 4: Therefore, the least common multiple of 358 and 364 is 65156.