Least Common Multiple of 12410 and 12418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12410 and 12418 the smallest integer that is 77053690 that is divisible by both numbers.

Least Common Multiple (LCM) of 12410 and 12418 is 77053690.

LCM(12410,12418) = 77053690

LCM of 12410 and 12418

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

LCM of:
and

Least Common Multiple of 12410 and 12418

LCM of 12410 and 12418 is 77053690

Least common multiple can be found by multiplying the highest exponent prime factors of 12410 and 12418. First we will calculate the prime factors of 12410 and 12418.

Prime Factorization of 12410


2 12410
5 6205
17 1241
73 73
1

Prime factors of 12410 are 2, 5, 17,73. Prime factorization of 12410 in exponential form is:

12410 = 21×51×171×731

Prime Factorization of 12418


2 12418
7 6209
887 887
1

Prime factors of 12418 are 2, 7,887. Prime factorization of 12418 in exponential form is:

12418 = 21×71×8871

Now multiplying the highest exponent prime factors to calculate the LCM of 12410 and 12418.

LCM(12410,12418) = 21×51×71×171×731×8871
LCM(12410,12418) = 77053690

Factors of 12410

List of positive integer factors of 12410 that divides 12410 without a remainder.

1, 2, 5, 10, 17, 34, 73, 85, 146, 170, 365, 730, 1241, 2482, 6205, 12410

Factors of 12418

List of positive integer factors of 12418 that divides 12418 without a remainder.

1, 2, 7, 14, 887, 1774, 6209, 12418

Least Common Multiple of 12410 and 12418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12410 and 12418, than apply into the LCM equation.

GCF(12410,12418) = 2
LCM(12410,12418) = ( 12410 × 12418) / 2
LCM(12410,12418) = 154107380 / 2
LCM(12410,12418) = 77053690

Properties of LCM 12410 and 12418

(i) The LCM of 12418 and 12410 is associative

LCM of 12410 and 12418 = LCM of 12418 and 12410

Related Least Common Multiples of 12410

Related Least Common Multiples of 12418

Frequently Asked Questions on LCM of 12410 and 12418

1. What is the LCM of 12410 and 12418?

Answer: LCM of 12410 and 12418 is 77053690.

2. What are the Factors of 12410?

Answer: Factors of 12410 are 1, 2, 5, 10, 17, 34, 73, 85, 146, 170, 365, 730, 1241, 2482, 6205, 12410. There are 16 integers that are factors of 12410. The greatest factor of 12410 is 12410.

3. What are the Factors of 12418?

Answer: Factors of 12418 are 1, 2, 7, 14, 887, 1774, 6209, 12418. There are 8 integers that are factors of 12418. The greatest factor of 12418 is 12418.

4. How to Find the LCM of 12410 and 12418?

Answer:

Least Common Multiple of 12410 and 12418 = 77053690

Step 1: Find the prime factorization of 12410

12410 = 2 x 5 x 17 x 73

Step 2: Find the prime factorization of 12418

12418 = 2 x 7 x 887

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

LCM = 77053690 = 2 x 5 x 7 x 17 x 73 x 887

Step 4: Therefore, the least common multiple of 12410 and 12418 is 77053690.