Least Common Multiple of 15324 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 15324 and 15332 the smallest integer that is 58736892 that is divisible by both numbers.

Least Common Multiple (LCM) of 15324 and 15332 is 58736892.

LCM(15324,15332) = 58736892

LCM of 15324 and 15332

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

LCM of:
and

Least Common Multiple of 15324 and 15332

LCM of 15324 and 15332 is 58736892

Least common multiple can be found by multiplying the highest exponent prime factors of 15324 and 15332. First we will calculate the prime factors of 15324 and 15332.

Prime Factorization of 15324


2 15324
2 7662
3 3831
1277 1277
1

Prime factors of 15324 are 2, 3,1277. Prime factorization of 15324 in exponential form is:

15324 = 22×31×12771

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 15324 and 15332.

LCM(15324,15332) = 22×31×12771×38331
LCM(15324,15332) = 58736892

Factors of 15324

List of positive integer factors of 15324 that divides 15324 without a remainder.

1, 2, 3, 4, 6, 12, 1277, 2554, 3831, 5108, 7662, 15324

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 15324 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 15324 and 15332, than apply into the LCM equation.

GCF(15324,15332) = 4
LCM(15324,15332) = ( 15324 × 15332) / 4
LCM(15324,15332) = 234947568 / 4
LCM(15324,15332) = 58736892

Properties of LCM 15324 and 15332

(i) The LCM of 15332 and 15324 is associative

LCM of 15324 and 15332 = LCM of 15332 and 15324

Related Least Common Multiples of 15324

Related Least Common Multiples of 15332

Frequently Asked Questions on LCM of 15324 and 15332

1. What is the LCM of 15324 and 15332?

Answer: LCM of 15324 and 15332 is 58736892.

2. What are the Factors of 15324?

Answer: Factors of 15324 are 1, 2, 3, 4, 6, 12, 1277, 2554, 3831, 5108, 7662, 15324. There are 12 integers that are factors of 15324. The greatest factor of 15324 is 15324.

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 15324 and 15332?

Answer:

Least Common Multiple of 15324 and 15332 = 58736892

Step 1: Find the prime factorization of 15324

15324 = 2 x 2 x 3 x 1277

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 = 58736892 = 2 x 2 x 3 x 1277 x 3833

Step 4: Therefore, the least common multiple of 15324 and 15332 is 58736892.