Least Common Multiple of 15326 and 15332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15326 and 15332 the smallest integer that is 117489116 that is divisible by both numbers.

Least Common Multiple (LCM) of 15326 and 15332 is 117489116.

LCM(15326,15332) = 117489116

LCM of 15326 and 15332

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

LCM of:
and

Least Common Multiple of 15326 and 15332

LCM of 15326 and 15332 is 117489116

Least common multiple can be found by multiplying the highest exponent prime factors of 15326 and 15332. First we will calculate the prime factors of 15326 and 15332.

Prime Factorization of 15326


2 15326
79 7663
97 97
1

Prime factors of 15326 are 2, 79,97. Prime factorization of 15326 in exponential form is:

15326 = 21×791×971

Prime Factorization of 15332


2 15332
2 7666
3833 3833
1

Prime factors of 15332 are 2,3833. Prime factorization of 15332 in exponential form is:

15332 = 22×38331

Now multiplying the highest exponent prime factors to calculate the LCM of 15326 and 15332.

LCM(15326,15332) = 22×791×971×38331
LCM(15326,15332) = 117489116

Factors of 15326

List of positive integer factors of 15326 that divides 15326 without a remainder.

1, 2, 79, 97, 158, 194, 7663, 15326

Factors of 15332

List of positive integer factors of 15332 that divides 15332 without a remainder.

1, 2, 4, 3833, 7666, 15332

Least Common Multiple of 15326 and 15332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15326 and 15332, than apply into the LCM equation.

GCF(15326,15332) = 2
LCM(15326,15332) = ( 15326 × 15332) / 2
LCM(15326,15332) = 234978232 / 2
LCM(15326,15332) = 117489116

Properties of LCM 15326 and 15332

(i) The LCM of 15332 and 15326 is associative

LCM of 15326 and 15332 = LCM of 15332 and 15326

Related Least Common Multiples of 15326

Related Least Common Multiples of 15332

Frequently Asked Questions on LCM of 15326 and 15332

1. What is the LCM of 15326 and 15332?

Answer: LCM of 15326 and 15332 is 117489116.

2. What are the Factors of 15326?

Answer: Factors of 15326 are 1, 2, 79, 97, 158, 194, 7663, 15326. There are 8 integers that are factors of 15326. The greatest factor of 15326 is 15326.

3. What are the Factors of 15332?

Answer: Factors of 15332 are 1, 2, 4, 3833, 7666, 15332. There are 6 integers that are factors of 15332. The greatest factor of 15332 is 15332.

4. How to Find the LCM of 15326 and 15332?

Answer:

Least Common Multiple of 15326 and 15332 = 117489116

Step 1: Find the prime factorization of 15326

15326 = 2 x 79 x 97

Step 2: Find the prime factorization of 15332

15332 = 2 x 2 x 3833

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

LCM = 117489116 = 2 x 2 x 79 x 97 x 3833

Step 4: Therefore, the least common multiple of 15326 and 15332 is 117489116.