Least Common Multiple of 15291 and 15298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15291 and 15298 the smallest integer that is 233921718 that is divisible by both numbers.

Least Common Multiple (LCM) of 15291 and 15298 is 233921718.

LCM(15291,15298) = 233921718

LCM of 15291 and 15298

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

LCM of:
and

Least Common Multiple of 15291 and 15298

LCM of 15291 and 15298 is 233921718

Least common multiple can be found by multiplying the highest exponent prime factors of 15291 and 15298. First we will calculate the prime factors of 15291 and 15298.

Prime Factorization of 15291


3 15291
3 5097
1699 1699
1

Prime factors of 15291 are 3,1699. Prime factorization of 15291 in exponential form is:

15291 = 32×16991

Prime Factorization of 15298


2 15298
7649 7649
1

Prime factors of 15298 are 2,7649. Prime factorization of 15298 in exponential form is:

15298 = 21×76491

Now multiplying the highest exponent prime factors to calculate the LCM of 15291 and 15298.

LCM(15291,15298) = 21×32×16991×76491
LCM(15291,15298) = 233921718

Factors of 15291

List of positive integer factors of 15291 that divides 15291 without a remainder.

1, 3, 9, 1699, 5097, 15291

Factors of 15298

List of positive integer factors of 15298 that divides 15298 without a remainder.

1, 2, 7649, 15298

Least Common Multiple of 15291 and 15298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15291 and 15298, than apply into the LCM equation.

GCF(15291,15298) = 1
LCM(15291,15298) = ( 15291 × 15298) / 1
LCM(15291,15298) = 233921718 / 1
LCM(15291,15298) = 233921718

Properties of LCM 15291 and 15298

(i) The LCM of 15298 and 15291 is associative

LCM of 15291 and 15298 = LCM of 15298 and 15291

Related Least Common Multiples of 15291

Related Least Common Multiples of 15298

Frequently Asked Questions on LCM of 15291 and 15298

1. What is the LCM of 15291 and 15298?

Answer: LCM of 15291 and 15298 is 233921718.

2. What are the Factors of 15291?

Answer: Factors of 15291 are 1, 3, 9, 1699, 5097, 15291. There are 6 integers that are factors of 15291. The greatest factor of 15291 is 15291.

3. What are the Factors of 15298?

Answer: Factors of 15298 are 1, 2, 7649, 15298. There are 4 integers that are factors of 15298. The greatest factor of 15298 is 15298.

4. How to Find the LCM of 15291 and 15298?

Answer:

Least Common Multiple of 15291 and 15298 = 233921718

Step 1: Find the prime factorization of 15291

15291 = 3 x 3 x 1699

Step 2: Find the prime factorization of 15298

15298 = 2 x 7649

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

LCM = 233921718 = 2 x 3 x 3 x 1699 x 7649

Step 4: Therefore, the least common multiple of 15291 and 15298 is 233921718.