Least Common Multiple of 15410 and 15416

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 15416 the smallest integer that is 118780280 that is divisible by both numbers.

Least Common Multiple (LCM) of 15410 and 15416 is 118780280.

LCM(15410,15416) = 118780280

LCM of 15410 and 15416

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

LCM of:
and

Least Common Multiple of 15410 and 15416

LCM of 15410 and 15416 is 118780280

Least common multiple can be found by multiplying the highest exponent prime factors of 15410 and 15416. First we will calculate the prime factors of 15410 and 15416.

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 15416


2 15416
2 7708
2 3854
41 1927
47 47
1

Prime factors of 15416 are 2, 41,47. Prime factorization of 15416 in exponential form is:

15416 = 23×411×471

Now multiplying the highest exponent prime factors to calculate the LCM of 15410 and 15416.

LCM(15410,15416) = 23×51×231×411×471×671
LCM(15410,15416) = 118780280

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 15416

List of positive integer factors of 15416 that divides 15416 without a remainder.

1, 2, 4, 8, 41, 47, 82, 94, 164, 188, 328, 376, 1927, 3854, 7708, 15416

Least Common Multiple of 15410 and 15416 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 15416, than apply into the LCM equation.

GCF(15410,15416) = 2
LCM(15410,15416) = ( 15410 × 15416) / 2
LCM(15410,15416) = 237560560 / 2
LCM(15410,15416) = 118780280

Properties of LCM 15410 and 15416

(i) The LCM of 15416 and 15410 is associative

LCM of 15410 and 15416 = LCM of 15416 and 15410

Related Least Common Multiples of 15410

Related Least Common Multiples of 15416

Frequently Asked Questions on LCM of 15410 and 15416

1. What is the LCM of 15410 and 15416?

Answer: LCM of 15410 and 15416 is 118780280.

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 15416?

Answer: Factors of 15416 are 1, 2, 4, 8, 41, 47, 82, 94, 164, 188, 328, 376, 1927, 3854, 7708, 15416. There are 16 integers that are factors of 15416. The greatest factor of 15416 is 15416.

4. How to Find the LCM of 15410 and 15416?

Answer:

Least Common Multiple of 15410 and 15416 = 118780280

Step 1: Find the prime factorization of 15410

15410 = 2 x 5 x 23 x 67

Step 2: Find the prime factorization of 15416

15416 = 2 x 2 x 2 x 41 x 47

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

LCM = 118780280 = 2 x 2 x 2 x 5 x 23 x 41 x 47 x 67

Step 4: Therefore, the least common multiple of 15410 and 15416 is 118780280.