Least Common Multiple of 15232 and 15240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15232 and 15240 the smallest integer that is 29016960 that is divisible by both numbers.

Least Common Multiple (LCM) of 15232 and 15240 is 29016960.

LCM(15232,15240) = 29016960

LCM of 15232 and 15240

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

LCM of:
and

Least Common Multiple of 15232 and 15240

LCM of 15232 and 15240 is 29016960

Least common multiple can be found by multiplying the highest exponent prime factors of 15232 and 15240. First we will calculate the prime factors of 15232 and 15240.

Prime Factorization of 15232


2 15232
2 7616
2 3808
2 1904
2 952
2 476
2 238
7 119
17 17
1

Prime factors of 15232 are 2, 7,17. Prime factorization of 15232 in exponential form is:

15232 = 27×71×171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 15232 and 15240.

LCM(15232,15240) = 27×31×51×71×171×1271
LCM(15232,15240) = 29016960

Factors of 15232

List of positive integer factors of 15232 that divides 15232 without a remainder.

1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 64, 68, 112, 119, 128, 136, 224, 238, 272, 448, 476, 544, 896, 952, 1088, 1904, 2176, 3808, 7616, 15232

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

Least Common Multiple of 15232 and 15240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15232 and 15240, than apply into the LCM equation.

GCF(15232,15240) = 8
LCM(15232,15240) = ( 15232 × 15240) / 8
LCM(15232,15240) = 232135680 / 8
LCM(15232,15240) = 29016960

Properties of LCM 15232 and 15240

(i) The LCM of 15240 and 15232 is associative

LCM of 15232 and 15240 = LCM of 15240 and 15232

Related Least Common Multiples of 15232

Related Least Common Multiples of 15240

Frequently Asked Questions on LCM of 15232 and 15240

1. What is the LCM of 15232 and 15240?

Answer: LCM of 15232 and 15240 is 29016960.

2. What are the Factors of 15232?

Answer: Factors of 15232 are 1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 64, 68, 112, 119, 128, 136, 224, 238, 272, 448, 476, 544, 896, 952, 1088, 1904, 2176, 3808, 7616, 15232. There are 32 integers that are factors of 15232. The greatest factor of 15232 is 15232.

3. 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.

4. How to Find the LCM of 15232 and 15240?

Answer:

Least Common Multiple of 15232 and 15240 = 29016960

Step 1: Find the prime factorization of 15232

15232 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 17

Step 2: Find the prime factorization of 15240

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

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

LCM = 29016960 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 17 x 127

Step 4: Therefore, the least common multiple of 15232 and 15240 is 29016960.