Least Common Multiple of 6361 and 6366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6361 and 6366 the smallest integer that is 40494126 that is divisible by both numbers.

Least Common Multiple (LCM) of 6361 and 6366 is 40494126.

LCM(6361,6366) = 40494126

LCM of 6361 and 6366

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

LCM of:
and

Least Common Multiple of 6361 and 6366

LCM of 6361 and 6366 is 40494126

Least common multiple can be found by multiplying the highest exponent prime factors of 6361 and 6366. First we will calculate the prime factors of 6361 and 6366.

Prime Factorization of 6361


6361 6361
1

Prime factors of 6361 are 6361. Prime factorization of 6361 in exponential form is:

6361 = 63611

Prime Factorization of 6366


2 6366
3 3183
1061 1061
1

Prime factors of 6366 are 2, 3,1061. Prime factorization of 6366 in exponential form is:

6366 = 21×31×10611

Now multiplying the highest exponent prime factors to calculate the LCM of 6361 and 6366.

LCM(6361,6366) = 21×31×10611×63611
LCM(6361,6366) = 40494126

Factors of 6361

List of positive integer factors of 6361 that divides 6361 without a remainder.

1, 6361

Factors of 6366

List of positive integer factors of 6366 that divides 6366 without a remainder.

1, 2, 3, 6, 1061, 2122, 3183, 6366

Least Common Multiple of 6361 and 6366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6361 and 6366, than apply into the LCM equation.

GCF(6361,6366) = 1
LCM(6361,6366) = ( 6361 × 6366) / 1
LCM(6361,6366) = 40494126 / 1
LCM(6361,6366) = 40494126

Properties of LCM 6361 and 6366

(i) The LCM of 6366 and 6361 is associative

LCM of 6361 and 6366 = LCM of 6366 and 6361

Related Least Common Multiples of 6361

Related Least Common Multiples of 6366

Frequently Asked Questions on LCM of 6361 and 6366

1. What is the LCM of 6361 and 6366?

Answer: LCM of 6361 and 6366 is 40494126.

2. What are the Factors of 6361?

Answer: Factors of 6361 are 1, 6361. There are 2 integers that are factors of 6361. The greatest factor of 6361 is 6361.

3. What are the Factors of 6366?

Answer: Factors of 6366 are 1, 2, 3, 6, 1061, 2122, 3183, 6366. There are 8 integers that are factors of 6366. The greatest factor of 6366 is 6366.

4. How to Find the LCM of 6361 and 6366?

Answer:

Least Common Multiple of 6361 and 6366 = 40494126

Step 1: Find the prime factorization of 6361

6361 = 6361

Step 2: Find the prime factorization of 6366

6366 = 2 x 3 x 1061

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

LCM = 40494126 = 2 x 3 x 1061 x 6361

Step 4: Therefore, the least common multiple of 6361 and 6366 is 40494126.