Least Common Multiple of 364 and 366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 364 and 366 the smallest integer that is 66612 that is divisible by both numbers.

Least Common Multiple (LCM) of 364 and 366 is 66612.

LCM(364,366) = 66612

LCM of 364 and 366

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

LCM of:
and

Least Common Multiple of 364 and 366

LCM of 364 and 366 is 66612

Least common multiple can be found by multiplying the highest exponent prime factors of 364 and 366. First we will calculate the prime factors of 364 and 366.

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

Prime Factorization of 366


2 366
3 183
61 61
1

Prime factors of 366 are 2, 3,61. Prime factorization of 366 in exponential form is:

366 = 21×31×611

Now multiplying the highest exponent prime factors to calculate the LCM of 364 and 366.

LCM(364,366) = 22×31×71×131×611
LCM(364,366) = 66612

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

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Least Common Multiple of 364 and 366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 364 and 366, than apply into the LCM equation.

GCF(364,366) = 2
LCM(364,366) = ( 364 × 366) / 2
LCM(364,366) = 133224 / 2
LCM(364,366) = 66612

Properties of LCM 364 and 366

(i) The LCM of 366 and 364 is associative

LCM of 364 and 366 = LCM of 366 and 364

Related Least Common Multiples of 364

Related Least Common Multiples of 366

Frequently Asked Questions on LCM of 364 and 366

1. What is the LCM of 364 and 366?

Answer: LCM of 364 and 366 is 66612.

2. 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.

3. What are the Factors of 366?

Answer: Factors of 366 are 1, 2, 3, 6, 61, 122, 183, 366. There are 8 integers that are factors of 366. The greatest factor of 366 is 366.

4. How to Find the LCM of 364 and 366?

Answer:

Least Common Multiple of 364 and 366 = 66612

Step 1: Find the prime factorization of 364

364 = 2 x 2 x 7 x 13

Step 2: Find the prime factorization of 366

366 = 2 x 3 x 61

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

LCM = 66612 = 2 x 2 x 3 x 7 x 13 x 61

Step 4: Therefore, the least common multiple of 364 and 366 is 66612.