Least Common Multiple of 15246 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 15246 and 15252 the smallest integer that is 38755332 that is divisible by both numbers.

Least Common Multiple (LCM) of 15246 and 15252 is 38755332.

LCM(15246,15252) = 38755332

LCM of 15246 and 15252

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

LCM of:
and

Least Common Multiple of 15246 and 15252

LCM of 15246 and 15252 is 38755332

Least common multiple can be found by multiplying the highest exponent prime factors of 15246 and 15252. First we will calculate the prime factors of 15246 and 15252.

Prime Factorization of 15246


2 15246
3 7623
3 2541
7 847
11 121
11 11
1

Prime factors of 15246 are 2, 3, 7,11. Prime factorization of 15246 in exponential form is:

15246 = 21×32×71×112

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 15246 and 15252.

LCM(15246,15252) = 22×32×71×112×311×411
LCM(15246,15252) = 38755332

Factors of 15246

List of positive integer factors of 15246 that divides 15246 without a remainder.

1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 63, 66, 77, 99, 121, 126, 154, 198, 231, 242, 363, 462, 693, 726, 847, 1089, 1386, 1694, 2178, 2541, 5082, 7623, 15246

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 15246 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 15246 and 15252, than apply into the LCM equation.

GCF(15246,15252) = 6
LCM(15246,15252) = ( 15246 × 15252) / 6
LCM(15246,15252) = 232531992 / 6
LCM(15246,15252) = 38755332

Properties of LCM 15246 and 15252

(i) The LCM of 15252 and 15246 is associative

LCM of 15246 and 15252 = LCM of 15252 and 15246

Related Least Common Multiples of 15246

Related Least Common Multiples of 15252

Frequently Asked Questions on LCM of 15246 and 15252

1. What is the LCM of 15246 and 15252?

Answer: LCM of 15246 and 15252 is 38755332.

2. What are the Factors of 15246?

Answer: Factors of 15246 are 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 63, 66, 77, 99, 121, 126, 154, 198, 231, 242, 363, 462, 693, 726, 847, 1089, 1386, 1694, 2178, 2541, 5082, 7623, 15246. There are 36 integers that are factors of 15246. The greatest factor of 15246 is 15246.

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 15246 and 15252?

Answer:

Least Common Multiple of 15246 and 15252 = 38755332

Step 1: Find the prime factorization of 15246

15246 = 2 x 3 x 3 x 7 x 11 x 11

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 = 38755332 = 2 x 2 x 3 x 3 x 7 x 11 x 11 x 31 x 41

Step 4: Therefore, the least common multiple of 15246 and 15252 is 38755332.