Least Common Multiple of 15248 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 15248 and 15252 the smallest integer that is 58140624 that is divisible by both numbers.

Least Common Multiple (LCM) of 15248 and 15252 is 58140624.

LCM(15248,15252) = 58140624

LCM of 15248 and 15252

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

LCM of:
and

Least Common Multiple of 15248 and 15252

LCM of 15248 and 15252 is 58140624

Least common multiple can be found by multiplying the highest exponent prime factors of 15248 and 15252. First we will calculate the prime factors of 15248 and 15252.

Prime Factorization of 15248


2 15248
2 7624
2 3812
2 1906
953 953
1

Prime factors of 15248 are 2,953. Prime factorization of 15248 in exponential form is:

15248 = 24×9531

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 15248 and 15252.

LCM(15248,15252) = 24×31×311×411×9531
LCM(15248,15252) = 58140624

Factors of 15248

List of positive integer factors of 15248 that divides 15248 without a remainder.

1, 2, 4, 8, 16, 953, 1906, 3812, 7624, 15248

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 15248 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 15248 and 15252, than apply into the LCM equation.

GCF(15248,15252) = 4
LCM(15248,15252) = ( 15248 × 15252) / 4
LCM(15248,15252) = 232562496 / 4
LCM(15248,15252) = 58140624

Properties of LCM 15248 and 15252

(i) The LCM of 15252 and 15248 is associative

LCM of 15248 and 15252 = LCM of 15252 and 15248

Related Least Common Multiples of 15248

Related Least Common Multiples of 15252

Frequently Asked Questions on LCM of 15248 and 15252

1. What is the LCM of 15248 and 15252?

Answer: LCM of 15248 and 15252 is 58140624.

2. What are the Factors of 15248?

Answer: Factors of 15248 are 1, 2, 4, 8, 16, 953, 1906, 3812, 7624, 15248. There are 10 integers that are factors of 15248. The greatest factor of 15248 is 15248.

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 15248 and 15252?

Answer:

Least Common Multiple of 15248 and 15252 = 58140624

Step 1: Find the prime factorization of 15248

15248 = 2 x 2 x 2 x 2 x 953

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 = 58140624 = 2 x 2 x 2 x 2 x 3 x 31 x 41 x 953

Step 4: Therefore, the least common multiple of 15248 and 15252 is 58140624.