Least Common Multiple of 15235 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 15235 and 15240 the smallest integer that is 46436280 that is divisible by both numbers.

Least Common Multiple (LCM) of 15235 and 15240 is 46436280.

LCM(15235,15240) = 46436280

LCM of 15235 and 15240

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

LCM of:
and

Least Common Multiple of 15235 and 15240

LCM of 15235 and 15240 is 46436280

Least common multiple can be found by multiplying the highest exponent prime factors of 15235 and 15240. First we will calculate the prime factors of 15235 and 15240.

Prime Factorization of 15235


5 15235
11 3047
277 277
1

Prime factors of 15235 are 5, 11,277. Prime factorization of 15235 in exponential form is:

15235 = 51×111×2771

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 15235 and 15240.

LCM(15235,15240) = 23×31×51×111×1271×2771
LCM(15235,15240) = 46436280

Factors of 15235

List of positive integer factors of 15235 that divides 15235 without a remainder.

1, 5, 11, 55, 277, 1385, 3047, 15235

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 15235 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 15235 and 15240, than apply into the LCM equation.

GCF(15235,15240) = 5
LCM(15235,15240) = ( 15235 × 15240) / 5
LCM(15235,15240) = 232181400 / 5
LCM(15235,15240) = 46436280

Properties of LCM 15235 and 15240

(i) The LCM of 15240 and 15235 is associative

LCM of 15235 and 15240 = LCM of 15240 and 15235

Related Least Common Multiples of 15235

Related Least Common Multiples of 15240

Frequently Asked Questions on LCM of 15235 and 15240

1. What is the LCM of 15235 and 15240?

Answer: LCM of 15235 and 15240 is 46436280.

2. What are the Factors of 15235?

Answer: Factors of 15235 are 1, 5, 11, 55, 277, 1385, 3047, 15235. There are 8 integers that are factors of 15235. The greatest factor of 15235 is 15235.

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 15235 and 15240?

Answer:

Least Common Multiple of 15235 and 15240 = 46436280

Step 1: Find the prime factorization of 15235

15235 = 5 x 11 x 277

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 = 46436280 = 2 x 2 x 2 x 3 x 5 x 11 x 127 x 277

Step 4: Therefore, the least common multiple of 15235 and 15240 is 46436280.