Least Common Multiple of 10361 and 10366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10361 and 10366 the smallest integer that is 107402126 that is divisible by both numbers.

Least Common Multiple (LCM) of 10361 and 10366 is 107402126.

LCM(10361,10366) = 107402126

LCM of 10361 and 10366

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

LCM of:
and

Least Common Multiple of 10361 and 10366

LCM of 10361 and 10366 is 107402126

Least common multiple can be found by multiplying the highest exponent prime factors of 10361 and 10366. First we will calculate the prime factors of 10361 and 10366.

Prime Factorization of 10361


13 10361
797 797
1

Prime factors of 10361 are 13,797. Prime factorization of 10361 in exponential form is:

10361 = 131×7971

Prime Factorization of 10366


2 10366
71 5183
73 73
1

Prime factors of 10366 are 2, 71,73. Prime factorization of 10366 in exponential form is:

10366 = 21×711×731

Now multiplying the highest exponent prime factors to calculate the LCM of 10361 and 10366.

LCM(10361,10366) = 21×131×711×731×7971
LCM(10361,10366) = 107402126

Factors of 10361

List of positive integer factors of 10361 that divides 10361 without a remainder.

1, 13, 797, 10361

Factors of 10366

List of positive integer factors of 10366 that divides 10366 without a remainder.

1, 2, 71, 73, 142, 146, 5183, 10366

Least Common Multiple of 10361 and 10366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10361 and 10366, than apply into the LCM equation.

GCF(10361,10366) = 1
LCM(10361,10366) = ( 10361 × 10366) / 1
LCM(10361,10366) = 107402126 / 1
LCM(10361,10366) = 107402126

Properties of LCM 10361 and 10366

(i) The LCM of 10366 and 10361 is associative

LCM of 10361 and 10366 = LCM of 10366 and 10361

Related Least Common Multiples of 10361

Related Least Common Multiples of 10366

Frequently Asked Questions on LCM of 10361 and 10366

1. What is the LCM of 10361 and 10366?

Answer: LCM of 10361 and 10366 is 107402126.

2. What are the Factors of 10361?

Answer: Factors of 10361 are 1, 13, 797, 10361. There are 4 integers that are factors of 10361. The greatest factor of 10361 is 10361.

3. What are the Factors of 10366?

Answer: Factors of 10366 are 1, 2, 71, 73, 142, 146, 5183, 10366. There are 8 integers that are factors of 10366. The greatest factor of 10366 is 10366.

4. How to Find the LCM of 10361 and 10366?

Answer:

Least Common Multiple of 10361 and 10366 = 107402126

Step 1: Find the prime factorization of 10361

10361 = 13 x 797

Step 2: Find the prime factorization of 10366

10366 = 2 x 71 x 73

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

LCM = 107402126 = 2 x 13 x 71 x 73 x 797

Step 4: Therefore, the least common multiple of 10361 and 10366 is 107402126.