Least Common Multiple of 15240 and 15245

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 15245 the smallest integer that is 46466760 that is divisible by both numbers.

Least Common Multiple (LCM) of 15240 and 15245 is 46466760.

LCM(15240,15245) = 46466760

LCM of 15240 and 15245

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

LCM of:
and

Least Common Multiple of 15240 and 15245

LCM of 15240 and 15245 is 46466760

Least common multiple can be found by multiplying the highest exponent prime factors of 15240 and 15245. First we will calculate the prime factors of 15240 and 15245.

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 15245


5 15245
3049 3049
1

Prime factors of 15245 are 5,3049. Prime factorization of 15245 in exponential form is:

15245 = 51×30491

Now multiplying the highest exponent prime factors to calculate the LCM of 15240 and 15245.

LCM(15240,15245) = 23×31×51×1271×30491
LCM(15240,15245) = 46466760

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 15245

List of positive integer factors of 15245 that divides 15245 without a remainder.

1, 5, 3049, 15245

Least Common Multiple of 15240 and 15245 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 15245, than apply into the LCM equation.

GCF(15240,15245) = 5
LCM(15240,15245) = ( 15240 × 15245) / 5
LCM(15240,15245) = 232333800 / 5
LCM(15240,15245) = 46466760

Properties of LCM 15240 and 15245

(i) The LCM of 15245 and 15240 is associative

LCM of 15240 and 15245 = LCM of 15245 and 15240

Related Least Common Multiples of 15240

Related Least Common Multiples of 15245

Frequently Asked Questions on LCM of 15240 and 15245

1. What is the LCM of 15240 and 15245?

Answer: LCM of 15240 and 15245 is 46466760.

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 15245?

Answer: Factors of 15245 are 1, 5, 3049, 15245. There are 4 integers that are factors of 15245. The greatest factor of 15245 is 15245.

4. How to Find the LCM of 15240 and 15245?

Answer:

Least Common Multiple of 15240 and 15245 = 46466760

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 15245

15245 = 5 x 3049

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

LCM = 46466760 = 2 x 2 x 2 x 3 x 5 x 127 x 3049

Step 4: Therefore, the least common multiple of 15240 and 15245 is 46466760.