Least Common Multiple of 15252 and 15258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15252 and 15258 the smallest integer that is 38785836 that is divisible by both numbers.

Least Common Multiple (LCM) of 15252 and 15258 is 38785836.

LCM(15252,15258) = 38785836

LCM of 15252 and 15258

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

LCM of:
and

Least Common Multiple of 15252 and 15258

LCM of 15252 and 15258 is 38785836

Least common multiple can be found by multiplying the highest exponent prime factors of 15252 and 15258. First we will calculate the prime factors of 15252 and 15258.

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

Prime Factorization of 15258


2 15258
3 7629
2543 2543
1

Prime factors of 15258 are 2, 3,2543. Prime factorization of 15258 in exponential form is:

15258 = 21×31×25431

Now multiplying the highest exponent prime factors to calculate the LCM of 15252 and 15258.

LCM(15252,15258) = 22×31×311×411×25431
LCM(15252,15258) = 38785836

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

Factors of 15258

List of positive integer factors of 15258 that divides 15258 without a remainder.

1, 2, 3, 6, 2543, 5086, 7629, 15258

Least Common Multiple of 15252 and 15258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15252 and 15258, than apply into the LCM equation.

GCF(15252,15258) = 6
LCM(15252,15258) = ( 15252 × 15258) / 6
LCM(15252,15258) = 232715016 / 6
LCM(15252,15258) = 38785836

Properties of LCM 15252 and 15258

(i) The LCM of 15258 and 15252 is associative

LCM of 15252 and 15258 = LCM of 15258 and 15252

Related Least Common Multiples of 15252

Related Least Common Multiples of 15258

Frequently Asked Questions on LCM of 15252 and 15258

1. What is the LCM of 15252 and 15258?

Answer: LCM of 15252 and 15258 is 38785836.

2. 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.

3. What are the Factors of 15258?

Answer: Factors of 15258 are 1, 2, 3, 6, 2543, 5086, 7629, 15258. There are 8 integers that are factors of 15258. The greatest factor of 15258 is 15258.

4. How to Find the LCM of 15252 and 15258?

Answer:

Least Common Multiple of 15252 and 15258 = 38785836

Step 1: Find the prime factorization of 15252

15252 = 2 x 2 x 3 x 31 x 41

Step 2: Find the prime factorization of 15258

15258 = 2 x 3 x 2543

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

LCM = 38785836 = 2 x 2 x 3 x 31 x 41 x 2543

Step 4: Therefore, the least common multiple of 15252 and 15258 is 38785836.