Least Common Multiple of 15240 and 15248

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 15248 the smallest integer that is 29047440 that is divisible by both numbers.

Least Common Multiple (LCM) of 15240 and 15248 is 29047440.

LCM(15240,15248) = 29047440

LCM of 15240 and 15248

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

LCM of:
and

Least Common Multiple of 15240 and 15248

LCM of 15240 and 15248 is 29047440

Least common multiple can be found by multiplying the highest exponent prime factors of 15240 and 15248. First we will calculate the prime factors of 15240 and 15248.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 15240 and 15248.

LCM(15240,15248) = 24×31×51×1271×9531
LCM(15240,15248) = 29047440

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 15248

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

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

Least Common Multiple of 15240 and 15248 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 15248, than apply into the LCM equation.

GCF(15240,15248) = 8
LCM(15240,15248) = ( 15240 × 15248) / 8
LCM(15240,15248) = 232379520 / 8
LCM(15240,15248) = 29047440

Properties of LCM 15240 and 15248

(i) The LCM of 15248 and 15240 is associative

LCM of 15240 and 15248 = LCM of 15248 and 15240

Related Least Common Multiples of 15240

Related Least Common Multiples of 15248

Frequently Asked Questions on LCM of 15240 and 15248

1. What is the LCM of 15240 and 15248?

Answer: LCM of 15240 and 15248 is 29047440.

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 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.

4. How to Find the LCM of 15240 and 15248?

Answer:

Least Common Multiple of 15240 and 15248 = 29047440

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 15248

15248 = 2 x 2 x 2 x 2 x 953

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

LCM = 29047440 = 2 x 2 x 2 x 2 x 3 x 5 x 127 x 953

Step 4: Therefore, the least common multiple of 15240 and 15248 is 29047440.