Least Common Multiple of 1240 and 1247

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1240 and 1247 the smallest integer that is 1546280 that is divisible by both numbers.

Least Common Multiple (LCM) of 1240 and 1247 is 1546280.

LCM(1240,1247) = 1546280

LCM of 1240 and 1247

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

LCM of:
and

Least Common Multiple of 1240 and 1247

LCM of 1240 and 1247 is 1546280

Least common multiple can be found by multiplying the highest exponent prime factors of 1240 and 1247. First we will calculate the prime factors of 1240 and 1247.

Prime Factorization of 1240


2 1240
2 620
2 310
5 155
31 31
1

Prime factors of 1240 are 2, 5,31. Prime factorization of 1240 in exponential form is:

1240 = 23×51×311

Prime Factorization of 1247


29 1247
43 43
1

Prime factors of 1247 are 29,43. Prime factorization of 1247 in exponential form is:

1247 = 291×431

Now multiplying the highest exponent prime factors to calculate the LCM of 1240 and 1247.

LCM(1240,1247) = 23×51×291×311×431
LCM(1240,1247) = 1546280

Factors of 1240

List of positive integer factors of 1240 that divides 1240 without a remainder.

1, 2, 4, 5, 8, 10, 20, 31, 40, 62, 124, 155, 248, 310, 620, 1240

Factors of 1247

List of positive integer factors of 1247 that divides 1247 without a remainder.

1, 29, 43, 1247

Least Common Multiple of 1240 and 1247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1240 and 1247, than apply into the LCM equation.

GCF(1240,1247) = 1
LCM(1240,1247) = ( 1240 × 1247) / 1
LCM(1240,1247) = 1546280 / 1
LCM(1240,1247) = 1546280

Properties of LCM 1240 and 1247

(i) The LCM of 1247 and 1240 is associative

LCM of 1240 and 1247 = LCM of 1247 and 1240

Related Least Common Multiples of 1240

Related Least Common Multiples of 1247

Frequently Asked Questions on LCM of 1240 and 1247

1. What is the LCM of 1240 and 1247?

Answer: LCM of 1240 and 1247 is 1546280.

2. What are the Factors of 1240?

Answer: Factors of 1240 are 1, 2, 4, 5, 8, 10, 20, 31, 40, 62, 124, 155, 248, 310, 620, 1240. There are 16 integers that are factors of 1240. The greatest factor of 1240 is 1240.

3. What are the Factors of 1247?

Answer: Factors of 1247 are 1, 29, 43, 1247. There are 4 integers that are factors of 1247. The greatest factor of 1247 is 1247.

4. How to Find the LCM of 1240 and 1247?

Answer:

Least Common Multiple of 1240 and 1247 = 1546280

Step 1: Find the prime factorization of 1240

1240 = 2 x 2 x 2 x 5 x 31

Step 2: Find the prime factorization of 1247

1247 = 29 x 43

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

LCM = 1546280 = 2 x 2 x 2 x 5 x 29 x 31 x 43

Step 4: Therefore, the least common multiple of 1240 and 1247 is 1546280.