Least Common Multiple of 5240 and 5246

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5240 and 5246 the smallest integer that is 13744520 that is divisible by both numbers.

Least Common Multiple (LCM) of 5240 and 5246 is 13744520.

LCM(5240,5246) = 13744520

LCM of 5240 and 5246

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

LCM of:
and

Least Common Multiple of 5240 and 5246

LCM of 5240 and 5246 is 13744520

Least common multiple can be found by multiplying the highest exponent prime factors of 5240 and 5246. First we will calculate the prime factors of 5240 and 5246.

Prime Factorization of 5240


2 5240
2 2620
2 1310
5 655
131 131
1

Prime factors of 5240 are 2, 5,131. Prime factorization of 5240 in exponential form is:

5240 = 23×51×1311

Prime Factorization of 5246


2 5246
43 2623
61 61
1

Prime factors of 5246 are 2, 43,61. Prime factorization of 5246 in exponential form is:

5246 = 21×431×611

Now multiplying the highest exponent prime factors to calculate the LCM of 5240 and 5246.

LCM(5240,5246) = 23×51×431×611×1311
LCM(5240,5246) = 13744520

Factors of 5240

List of positive integer factors of 5240 that divides 5240 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 131, 262, 524, 655, 1048, 1310, 2620, 5240

Factors of 5246

List of positive integer factors of 5246 that divides 5246 without a remainder.

1, 2, 43, 61, 86, 122, 2623, 5246

Least Common Multiple of 5240 and 5246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5240 and 5246, than apply into the LCM equation.

GCF(5240,5246) = 2
LCM(5240,5246) = ( 5240 × 5246) / 2
LCM(5240,5246) = 27489040 / 2
LCM(5240,5246) = 13744520

Properties of LCM 5240 and 5246

(i) The LCM of 5246 and 5240 is associative

LCM of 5240 and 5246 = LCM of 5246 and 5240

Related Least Common Multiples of 5240

Related Least Common Multiples of 5246

Frequently Asked Questions on LCM of 5240 and 5246

1. What is the LCM of 5240 and 5246?

Answer: LCM of 5240 and 5246 is 13744520.

2. What are the Factors of 5240?

Answer: Factors of 5240 are 1, 2, 4, 5, 8, 10, 20, 40, 131, 262, 524, 655, 1048, 1310, 2620, 5240. There are 16 integers that are factors of 5240. The greatest factor of 5240 is 5240.

3. What are the Factors of 5246?

Answer: Factors of 5246 are 1, 2, 43, 61, 86, 122, 2623, 5246. There are 8 integers that are factors of 5246. The greatest factor of 5246 is 5246.

4. How to Find the LCM of 5240 and 5246?

Answer:

Least Common Multiple of 5240 and 5246 = 13744520

Step 1: Find the prime factorization of 5240

5240 = 2 x 2 x 2 x 5 x 131

Step 2: Find the prime factorization of 5246

5246 = 2 x 43 x 61

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

LCM = 13744520 = 2 x 2 x 2 x 5 x 43 x 61 x 131

Step 4: Therefore, the least common multiple of 5240 and 5246 is 13744520.