Least Common Multiple of 15240 and 15247

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 15247 the smallest integer that is 232364280 that is divisible by both numbers.

Least Common Multiple (LCM) of 15240 and 15247 is 232364280.

LCM(15240,15247) = 232364280

LCM of 15240 and 15247

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

LCM of:
and

Least Common Multiple of 15240 and 15247

LCM of 15240 and 15247 is 232364280

Least common multiple can be found by multiplying the highest exponent prime factors of 15240 and 15247. First we will calculate the prime factors of 15240 and 15247.

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 15247


79 15247
193 193
1

Prime factors of 15247 are 79,193. Prime factorization of 15247 in exponential form is:

15247 = 791×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 15240 and 15247.

LCM(15240,15247) = 23×31×51×791×1271×1931
LCM(15240,15247) = 232364280

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 15247

List of positive integer factors of 15247 that divides 15247 without a remainder.

1, 79, 193, 15247

Least Common Multiple of 15240 and 15247 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 15247, than apply into the LCM equation.

GCF(15240,15247) = 1
LCM(15240,15247) = ( 15240 × 15247) / 1
LCM(15240,15247) = 232364280 / 1
LCM(15240,15247) = 232364280

Properties of LCM 15240 and 15247

(i) The LCM of 15247 and 15240 is associative

LCM of 15240 and 15247 = LCM of 15247 and 15240

Related Least Common Multiples of 15240

Related Least Common Multiples of 15247

Frequently Asked Questions on LCM of 15240 and 15247

1. What is the LCM of 15240 and 15247?

Answer: LCM of 15240 and 15247 is 232364280.

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 15247?

Answer: Factors of 15247 are 1, 79, 193, 15247. There are 4 integers that are factors of 15247. The greatest factor of 15247 is 15247.

4. How to Find the LCM of 15240 and 15247?

Answer:

Least Common Multiple of 15240 and 15247 = 232364280

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 15247

15247 = 79 x 193

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

LCM = 232364280 = 2 x 2 x 2 x 3 x 5 x 79 x 127 x 193

Step 4: Therefore, the least common multiple of 15240 and 15247 is 232364280.