Least Common Multiple of 359 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 359 and 366 the smallest integer that is 131394 that is divisible by both numbers.

Least Common Multiple (LCM) of 359 and 366 is 131394.

LCM(359,366) = 131394

LCM of 359 and 366

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

LCM of:
and

Least Common Multiple of 359 and 366

LCM of 359 and 366 is 131394

Least common multiple can be found by multiplying the highest exponent prime factors of 359 and 366. First we will calculate the prime factors of 359 and 366.

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 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 359 and 366.

LCM(359,366) = 21×31×611×3591
LCM(359,366) = 131394

Factors of 359

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

1, 359

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 359 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 359 and 366, than apply into the LCM equation.

GCF(359,366) = 1
LCM(359,366) = ( 359 × 366) / 1
LCM(359,366) = 131394 / 1
LCM(359,366) = 131394

Properties of LCM 359 and 366

(i) The LCM of 366 and 359 is associative

LCM of 359 and 366 = LCM of 366 and 359

Related Least Common Multiples of 359

Related Least Common Multiples of 366

Frequently Asked Questions on LCM of 359 and 366

1. What is the LCM of 359 and 366?

Answer: LCM of 359 and 366 is 131394.

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 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 359 and 366?

Answer:

Least Common Multiple of 359 and 366 = 131394

Step 1: Find the prime factorization of 359

359 = 359

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 = 131394 = 2 x 3 x 61 x 359

Step 4: Therefore, the least common multiple of 359 and 366 is 131394.