Least Common Multiple of 15410 and 15418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15410 and 15418 the smallest integer that is 118795690 that is divisible by both numbers.

Least Common Multiple (LCM) of 15410 and 15418 is 118795690.

LCM(15410,15418) = 118795690

LCM of 15410 and 15418

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

LCM of:
and

Least Common Multiple of 15410 and 15418

LCM of 15410 and 15418 is 118795690

Least common multiple can be found by multiplying the highest exponent prime factors of 15410 and 15418. First we will calculate the prime factors of 15410 and 15418.

Prime Factorization of 15410


2 15410
5 7705
23 1541
67 67
1

Prime factors of 15410 are 2, 5, 23,67. Prime factorization of 15410 in exponential form is:

15410 = 21×51×231×671

Prime Factorization of 15418


2 15418
13 7709
593 593
1

Prime factors of 15418 are 2, 13,593. Prime factorization of 15418 in exponential form is:

15418 = 21×131×5931

Now multiplying the highest exponent prime factors to calculate the LCM of 15410 and 15418.

LCM(15410,15418) = 21×51×131×231×671×5931
LCM(15410,15418) = 118795690

Factors of 15410

List of positive integer factors of 15410 that divides 15410 without a remainder.

1, 2, 5, 10, 23, 46, 67, 115, 134, 230, 335, 670, 1541, 3082, 7705, 15410

Factors of 15418

List of positive integer factors of 15418 that divides 15418 without a remainder.

1, 2, 13, 26, 593, 1186, 7709, 15418

Least Common Multiple of 15410 and 15418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15410 and 15418, than apply into the LCM equation.

GCF(15410,15418) = 2
LCM(15410,15418) = ( 15410 × 15418) / 2
LCM(15410,15418) = 237591380 / 2
LCM(15410,15418) = 118795690

Properties of LCM 15410 and 15418

(i) The LCM of 15418 and 15410 is associative

LCM of 15410 and 15418 = LCM of 15418 and 15410

Related Least Common Multiples of 15410

Related Least Common Multiples of 15418

Frequently Asked Questions on LCM of 15410 and 15418

1. What is the LCM of 15410 and 15418?

Answer: LCM of 15410 and 15418 is 118795690.

2. What are the Factors of 15410?

Answer: Factors of 15410 are 1, 2, 5, 10, 23, 46, 67, 115, 134, 230, 335, 670, 1541, 3082, 7705, 15410. There are 16 integers that are factors of 15410. The greatest factor of 15410 is 15410.

3. What are the Factors of 15418?

Answer: Factors of 15418 are 1, 2, 13, 26, 593, 1186, 7709, 15418. There are 8 integers that are factors of 15418. The greatest factor of 15418 is 15418.

4. How to Find the LCM of 15410 and 15418?

Answer:

Least Common Multiple of 15410 and 15418 = 118795690

Step 1: Find the prime factorization of 15410

15410 = 2 x 5 x 23 x 67

Step 2: Find the prime factorization of 15418

15418 = 2 x 13 x 593

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

LCM = 118795690 = 2 x 5 x 13 x 23 x 67 x 593

Step 4: Therefore, the least common multiple of 15410 and 15418 is 118795690.