Least Common Multiple of 4240 and 4247

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4240 and 4247 the smallest integer that is 18007280 that is divisible by both numbers.

Least Common Multiple (LCM) of 4240 and 4247 is 18007280.

LCM(4240,4247) = 18007280

LCM of 4240 and 4247

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

LCM of:
and

Least Common Multiple of 4240 and 4247

LCM of 4240 and 4247 is 18007280

Least common multiple can be found by multiplying the highest exponent prime factors of 4240 and 4247. First we will calculate the prime factors of 4240 and 4247.

Prime Factorization of 4240


2 4240
2 2120
2 1060
2 530
5 265
53 53
1

Prime factors of 4240 are 2, 5,53. Prime factorization of 4240 in exponential form is:

4240 = 24×51×531

Prime Factorization of 4247


31 4247
137 137
1

Prime factors of 4247 are 31,137. Prime factorization of 4247 in exponential form is:

4247 = 311×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 4240 and 4247.

LCM(4240,4247) = 24×51×311×531×1371
LCM(4240,4247) = 18007280

Factors of 4240

List of positive integer factors of 4240 that divides 4240 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 53, 80, 106, 212, 265, 424, 530, 848, 1060, 2120, 4240

Factors of 4247

List of positive integer factors of 4247 that divides 4247 without a remainder.

1, 31, 137, 4247

Least Common Multiple of 4240 and 4247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4240 and 4247, than apply into the LCM equation.

GCF(4240,4247) = 1
LCM(4240,4247) = ( 4240 × 4247) / 1
LCM(4240,4247) = 18007280 / 1
LCM(4240,4247) = 18007280

Properties of LCM 4240 and 4247

(i) The LCM of 4247 and 4240 is associative

LCM of 4240 and 4247 = LCM of 4247 and 4240

Related Least Common Multiples of 4240

Related Least Common Multiples of 4247

Frequently Asked Questions on LCM of 4240 and 4247

1. What is the LCM of 4240 and 4247?

Answer: LCM of 4240 and 4247 is 18007280.

2. What are the Factors of 4240?

Answer: Factors of 4240 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 53, 80, 106, 212, 265, 424, 530, 848, 1060, 2120, 4240. There are 20 integers that are factors of 4240. The greatest factor of 4240 is 4240.

3. What are the Factors of 4247?

Answer: Factors of 4247 are 1, 31, 137, 4247. There are 4 integers that are factors of 4247. The greatest factor of 4247 is 4247.

4. How to Find the LCM of 4240 and 4247?

Answer:

Least Common Multiple of 4240 and 4247 = 18007280

Step 1: Find the prime factorization of 4240

4240 = 2 x 2 x 2 x 2 x 5 x 53

Step 2: Find the prime factorization of 4247

4247 = 31 x 137

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

LCM = 18007280 = 2 x 2 x 2 x 2 x 5 x 31 x 53 x 137

Step 4: Therefore, the least common multiple of 4240 and 4247 is 18007280.