Least Common Multiple of 4240 and 4246

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 4246 the smallest integer that is 9001520 that is divisible by both numbers.

Least Common Multiple (LCM) of 4240 and 4246 is 9001520.

LCM(4240,4246) = 9001520

LCM of 4240 and 4246

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

LCM of:
and

Least Common Multiple of 4240 and 4246

LCM of 4240 and 4246 is 9001520

Least common multiple can be found by multiplying the highest exponent prime factors of 4240 and 4246. First we will calculate the prime factors of 4240 and 4246.

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 4246


2 4246
11 2123
193 193
1

Prime factors of 4246 are 2, 11,193. Prime factorization of 4246 in exponential form is:

4246 = 21×111×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 4240 and 4246.

LCM(4240,4246) = 24×51×111×531×1931
LCM(4240,4246) = 9001520

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 4246

List of positive integer factors of 4246 that divides 4246 without a remainder.

1, 2, 11, 22, 193, 386, 2123, 4246

Least Common Multiple of 4240 and 4246 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 4246, than apply into the LCM equation.

GCF(4240,4246) = 2
LCM(4240,4246) = ( 4240 × 4246) / 2
LCM(4240,4246) = 18003040 / 2
LCM(4240,4246) = 9001520

Properties of LCM 4240 and 4246

(i) The LCM of 4246 and 4240 is associative

LCM of 4240 and 4246 = LCM of 4246 and 4240

Related Least Common Multiples of 4240

Related Least Common Multiples of 4246

Frequently Asked Questions on LCM of 4240 and 4246

1. What is the LCM of 4240 and 4246?

Answer: LCM of 4240 and 4246 is 9001520.

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 4246?

Answer: Factors of 4246 are 1, 2, 11, 22, 193, 386, 2123, 4246. There are 8 integers that are factors of 4246. The greatest factor of 4246 is 4246.

4. How to Find the LCM of 4240 and 4246?

Answer:

Least Common Multiple of 4240 and 4246 = 9001520

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 4246

4246 = 2 x 11 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 = 9001520 = 2 x 2 x 2 x 2 x 5 x 11 x 53 x 193

Step 4: Therefore, the least common multiple of 4240 and 4246 is 9001520.