Least Common Multiple of 15240 and 15244

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 15244 the smallest integer that is 58079640 that is divisible by both numbers.

Least Common Multiple (LCM) of 15240 and 15244 is 58079640.

LCM(15240,15244) = 58079640

LCM of 15240 and 15244

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

LCM of:
and

Least Common Multiple of 15240 and 15244

LCM of 15240 and 15244 is 58079640

Least common multiple can be found by multiplying the highest exponent prime factors of 15240 and 15244. First we will calculate the prime factors of 15240 and 15244.

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 15244


2 15244
2 7622
37 3811
103 103
1

Prime factors of 15244 are 2, 37,103. Prime factorization of 15244 in exponential form is:

15244 = 22×371×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 15240 and 15244.

LCM(15240,15244) = 23×31×51×371×1031×1271
LCM(15240,15244) = 58079640

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 15244

List of positive integer factors of 15244 that divides 15244 without a remainder.

1, 2, 4, 37, 74, 103, 148, 206, 412, 3811, 7622, 15244

Least Common Multiple of 15240 and 15244 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 15244, than apply into the LCM equation.

GCF(15240,15244) = 4
LCM(15240,15244) = ( 15240 × 15244) / 4
LCM(15240,15244) = 232318560 / 4
LCM(15240,15244) = 58079640

Properties of LCM 15240 and 15244

(i) The LCM of 15244 and 15240 is associative

LCM of 15240 and 15244 = LCM of 15244 and 15240

Related Least Common Multiples of 15240

Related Least Common Multiples of 15244

Frequently Asked Questions on LCM of 15240 and 15244

1. What is the LCM of 15240 and 15244?

Answer: LCM of 15240 and 15244 is 58079640.

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 15244?

Answer: Factors of 15244 are 1, 2, 4, 37, 74, 103, 148, 206, 412, 3811, 7622, 15244. There are 12 integers that are factors of 15244. The greatest factor of 15244 is 15244.

4. How to Find the LCM of 15240 and 15244?

Answer:

Least Common Multiple of 15240 and 15244 = 58079640

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 15244

15244 = 2 x 2 x 37 x 103

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

LCM = 58079640 = 2 x 2 x 2 x 3 x 5 x 37 x 103 x 127

Step 4: Therefore, the least common multiple of 15240 and 15244 is 58079640.