Least Common Multiple of 366 and 367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 366 and 367 the smallest integer that is 134322 that is divisible by both numbers.

Least Common Multiple (LCM) of 366 and 367 is 134322.

LCM(366,367) = 134322

LCM of 366 and 367

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

LCM of:
and

Least Common Multiple of 366 and 367

LCM of 366 and 367 is 134322

Least common multiple can be found by multiplying the highest exponent prime factors of 366 and 367. First we will calculate the prime factors of 366 and 367.

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

Prime Factorization of 367


367 367
1

Prime factors of 367 are 367. Prime factorization of 367 in exponential form is:

367 = 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 366 and 367.

LCM(366,367) = 21×31×611×3671
LCM(366,367) = 134322

Factors of 366

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

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

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1, 367

Least Common Multiple of 366 and 367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 366 and 367, than apply into the LCM equation.

GCF(366,367) = 1
LCM(366,367) = ( 366 × 367) / 1
LCM(366,367) = 134322 / 1
LCM(366,367) = 134322

Properties of LCM 366 and 367

(i) The LCM of 367 and 366 is associative

LCM of 366 and 367 = LCM of 367 and 366

Related Least Common Multiples of 366

Related Least Common Multiples of 367

Frequently Asked Questions on LCM of 366 and 367

1. What is the LCM of 366 and 367?

Answer: LCM of 366 and 367 is 134322.

2. 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.

3. What are the Factors of 367?

Answer: Factors of 367 are 1, 367. There are 2 integers that are factors of 367. The greatest factor of 367 is 367.

4. How to Find the LCM of 366 and 367?

Answer:

Least Common Multiple of 366 and 367 = 134322

Step 1: Find the prime factorization of 366

366 = 2 x 3 x 61

Step 2: Find the prime factorization of 367

367 = 367

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

LCM = 134322 = 2 x 3 x 61 x 367

Step 4: Therefore, the least common multiple of 366 and 367 is 134322.