Least Common Multiple of 10366 and 10370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10366 and 10370 the smallest integer that is 53747710 that is divisible by both numbers.

Least Common Multiple (LCM) of 10366 and 10370 is 53747710.

LCM(10366,10370) = 53747710

LCM of 10366 and 10370

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

LCM of:
and

Least Common Multiple of 10366 and 10370

LCM of 10366 and 10370 is 53747710

Least common multiple can be found by multiplying the highest exponent prime factors of 10366 and 10370. First we will calculate the prime factors of 10366 and 10370.

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

Prime Factorization of 10370


2 10370
5 5185
17 1037
61 61
1

Prime factors of 10370 are 2, 5, 17,61. Prime factorization of 10370 in exponential form is:

10370 = 21×51×171×611

Now multiplying the highest exponent prime factors to calculate the LCM of 10366 and 10370.

LCM(10366,10370) = 21×51×171×611×711×731
LCM(10366,10370) = 53747710

Factors of 10366

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

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

Factors of 10370

List of positive integer factors of 10370 that divides 10370 without a remainder.

1, 2, 5, 10, 17, 34, 61, 85, 122, 170, 305, 610, 1037, 2074, 5185, 10370

Least Common Multiple of 10366 and 10370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10366 and 10370, than apply into the LCM equation.

GCF(10366,10370) = 2
LCM(10366,10370) = ( 10366 × 10370) / 2
LCM(10366,10370) = 107495420 / 2
LCM(10366,10370) = 53747710

Properties of LCM 10366 and 10370

(i) The LCM of 10370 and 10366 is associative

LCM of 10366 and 10370 = LCM of 10370 and 10366

Related Least Common Multiples of 10366

Related Least Common Multiples of 10370

Frequently Asked Questions on LCM of 10366 and 10370

1. What is the LCM of 10366 and 10370?

Answer: LCM of 10366 and 10370 is 53747710.

2. 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.

3. What are the Factors of 10370?

Answer: Factors of 10370 are 1, 2, 5, 10, 17, 34, 61, 85, 122, 170, 305, 610, 1037, 2074, 5185, 10370. There are 16 integers that are factors of 10370. The greatest factor of 10370 is 10370.

4. How to Find the LCM of 10366 and 10370?

Answer:

Least Common Multiple of 10366 and 10370 = 53747710

Step 1: Find the prime factorization of 10366

10366 = 2 x 71 x 73

Step 2: Find the prime factorization of 10370

10370 = 2 x 5 x 17 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 = 53747710 = 2 x 5 x 17 x 61 x 71 x 73

Step 4: Therefore, the least common multiple of 10366 and 10370 is 53747710.