Least Common Multiple of 15244 and 15252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15244 and 15252 the smallest integer that is 58125372 that is divisible by both numbers.

Least Common Multiple (LCM) of 15244 and 15252 is 58125372.

LCM(15244,15252) = 58125372

LCM of 15244 and 15252

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

LCM of:
and

Least Common Multiple of 15244 and 15252

LCM of 15244 and 15252 is 58125372

Least common multiple can be found by multiplying the highest exponent prime factors of 15244 and 15252. First we will calculate the prime factors of 15244 and 15252.

Prime Factorization of 15244


2 15244
2 7622
37 3811
103 103
1

Prime factors of 15244 are 2, 37,103. Prime factorization of 15244 in exponential form is:

15244 = 22×371×1031

Prime Factorization of 15252


2 15252
2 7626
3 3813
31 1271
41 41
1

Prime factors of 15252 are 2, 3, 31,41. Prime factorization of 15252 in exponential form is:

15252 = 22×31×311×411

Now multiplying the highest exponent prime factors to calculate the LCM of 15244 and 15252.

LCM(15244,15252) = 22×31×311×371×411×1031
LCM(15244,15252) = 58125372

Factors of 15244

List of positive integer factors of 15244 that divides 15244 without a remainder.

1, 2, 4, 37, 74, 103, 148, 206, 412, 3811, 7622, 15244

Factors of 15252

List of positive integer factors of 15252 that divides 15252 without a remainder.

1, 2, 3, 4, 6, 12, 31, 41, 62, 82, 93, 123, 124, 164, 186, 246, 372, 492, 1271, 2542, 3813, 5084, 7626, 15252

Least Common Multiple of 15244 and 15252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15244 and 15252, than apply into the LCM equation.

GCF(15244,15252) = 4
LCM(15244,15252) = ( 15244 × 15252) / 4
LCM(15244,15252) = 232501488 / 4
LCM(15244,15252) = 58125372

Properties of LCM 15244 and 15252

(i) The LCM of 15252 and 15244 is associative

LCM of 15244 and 15252 = LCM of 15252 and 15244

Related Least Common Multiples of 15244

Related Least Common Multiples of 15252

Frequently Asked Questions on LCM of 15244 and 15252

1. What is the LCM of 15244 and 15252?

Answer: LCM of 15244 and 15252 is 58125372.

2. What are the Factors of 15244?

Answer: Factors of 15244 are 1, 2, 4, 37, 74, 103, 148, 206, 412, 3811, 7622, 15244. There are 12 integers that are factors of 15244. The greatest factor of 15244 is 15244.

3. What are the Factors of 15252?

Answer: Factors of 15252 are 1, 2, 3, 4, 6, 12, 31, 41, 62, 82, 93, 123, 124, 164, 186, 246, 372, 492, 1271, 2542, 3813, 5084, 7626, 15252. There are 24 integers that are factors of 15252. The greatest factor of 15252 is 15252.

4. How to Find the LCM of 15244 and 15252?

Answer:

Least Common Multiple of 15244 and 15252 = 58125372

Step 1: Find the prime factorization of 15244

15244 = 2 x 2 x 37 x 103

Step 2: Find the prime factorization of 15252

15252 = 2 x 2 x 3 x 31 x 41

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

LCM = 58125372 = 2 x 2 x 3 x 31 x 37 x 41 x 103

Step 4: Therefore, the least common multiple of 15244 and 15252 is 58125372.