Least Common Multiple of 361 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 361 and 366 the smallest integer that is 132126 that is divisible by both numbers.

Least Common Multiple (LCM) of 361 and 366 is 132126.

LCM(361,366) = 132126

LCM of 361 and 366

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

LCM of:
and

Least Common Multiple of 361 and 366

LCM of 361 and 366 is 132126

Least common multiple can be found by multiplying the highest exponent prime factors of 361 and 366. First we will calculate the prime factors of 361 and 366.

Prime Factorization of 361


19 361
19 19
1

Prime factors of 361 are 19. Prime factorization of 361 in exponential form is:

361 = 192

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 361 and 366.

LCM(361,366) = 21×31×192×611
LCM(361,366) = 132126

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1, 19, 361

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 361 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 361 and 366, than apply into the LCM equation.

GCF(361,366) = 1
LCM(361,366) = ( 361 × 366) / 1
LCM(361,366) = 132126 / 1
LCM(361,366) = 132126

Properties of LCM 361 and 366

(i) The LCM of 366 and 361 is associative

LCM of 361 and 366 = LCM of 366 and 361

Related Least Common Multiples of 361

Related Least Common Multiples of 366

Frequently Asked Questions on LCM of 361 and 366

1. What is the LCM of 361 and 366?

Answer: LCM of 361 and 366 is 132126.

2. What are the Factors of 361?

Answer: Factors of 361 are 1, 19, 361. There are 3 integers that are factors of 361. The greatest factor of 361 is 361.

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 361 and 366?

Answer:

Least Common Multiple of 361 and 366 = 132126

Step 1: Find the prime factorization of 361

361 = 19 x 19

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 = 132126 = 2 x 3 x 19 x 19 x 61

Step 4: Therefore, the least common multiple of 361 and 366 is 132126.