Least Common Multiple of 15240 and 15246

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15240 and 15246 the smallest integer that is 38724840 that is divisible by both numbers.

Least Common Multiple (LCM) of 15240 and 15246 is 38724840.

LCM(15240,15246) = 38724840

LCM of 15240 and 15246

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

LCM of:
and

Least Common Multiple of 15240 and 15246

LCM of 15240 and 15246 is 38724840

Least common multiple can be found by multiplying the highest exponent prime factors of 15240 and 15246. First we will calculate the prime factors of 15240 and 15246.

Prime Factorization of 15240


2 15240
2 7620
2 3810
3 1905
5 635
127 127
1

Prime factors of 15240 are 2, 3, 5,127. Prime factorization of 15240 in exponential form is:

15240 = 23×31×51×1271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 15240 and 15246.

LCM(15240,15246) = 23×32×51×71×112×1271
LCM(15240,15246) = 38724840

Factors of 15240

List of positive integer factors of 15240 that divides 15240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 127, 254, 381, 508, 635, 762, 1016, 1270, 1524, 1905, 2540, 3048, 3810, 5080, 7620, 15240

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

Least Common Multiple of 15240 and 15246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15240 and 15246, than apply into the LCM equation.

GCF(15240,15246) = 6
LCM(15240,15246) = ( 15240 × 15246) / 6
LCM(15240,15246) = 232349040 / 6
LCM(15240,15246) = 38724840

Properties of LCM 15240 and 15246

(i) The LCM of 15246 and 15240 is associative

LCM of 15240 and 15246 = LCM of 15246 and 15240

Related Least Common Multiples of 15240

Related Least Common Multiples of 15246

Frequently Asked Questions on LCM of 15240 and 15246

1. What is the LCM of 15240 and 15246?

Answer: LCM of 15240 and 15246 is 38724840.

2. What are the Factors of 15240?

Answer: Factors of 15240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 127, 254, 381, 508, 635, 762, 1016, 1270, 1524, 1905, 2540, 3048, 3810, 5080, 7620, 15240. There are 32 integers that are factors of 15240. The greatest factor of 15240 is 15240.

3. 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.

4. How to Find the LCM of 15240 and 15246?

Answer:

Least Common Multiple of 15240 and 15246 = 38724840

Step 1: Find the prime factorization of 15240

15240 = 2 x 2 x 2 x 3 x 5 x 127

Step 2: Find the prime factorization of 15246

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

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

LCM = 38724840 = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 11 x 11 x 127

Step 4: Therefore, the least common multiple of 15240 and 15246 is 38724840.