Least Common Multiple of 5090 and 5096

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5090 and 5096 the smallest integer that is 12969320 that is divisible by both numbers.

Least Common Multiple (LCM) of 5090 and 5096 is 12969320.

LCM(5090,5096) = 12969320

LCM of 5090 and 5096

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

LCM of:
and

Least Common Multiple of 5090 and 5096

LCM of 5090 and 5096 is 12969320

Least common multiple can be found by multiplying the highest exponent prime factors of 5090 and 5096. First we will calculate the prime factors of 5090 and 5096.

Prime Factorization of 5090


2 5090
5 2545
509 509
1

Prime factors of 5090 are 2, 5,509. Prime factorization of 5090 in exponential form is:

5090 = 21×51×5091

Prime Factorization of 5096


2 5096
2 2548
2 1274
7 637
7 91
13 13
1

Prime factors of 5096 are 2, 7,13. Prime factorization of 5096 in exponential form is:

5096 = 23×72×131

Now multiplying the highest exponent prime factors to calculate the LCM of 5090 and 5096.

LCM(5090,5096) = 23×51×72×131×5091
LCM(5090,5096) = 12969320

Factors of 5090

List of positive integer factors of 5090 that divides 5090 without a remainder.

1, 2, 5, 10, 509, 1018, 2545, 5090

Factors of 5096

List of positive integer factors of 5096 that divides 5096 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 49, 52, 56, 91, 98, 104, 182, 196, 364, 392, 637, 728, 1274, 2548, 5096

Least Common Multiple of 5090 and 5096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5090 and 5096, than apply into the LCM equation.

GCF(5090,5096) = 2
LCM(5090,5096) = ( 5090 × 5096) / 2
LCM(5090,5096) = 25938640 / 2
LCM(5090,5096) = 12969320

Properties of LCM 5090 and 5096

(i) The LCM of 5096 and 5090 is associative

LCM of 5090 and 5096 = LCM of 5096 and 5090

Related Least Common Multiples of 5090

Related Least Common Multiples of 5096

Frequently Asked Questions on LCM of 5090 and 5096

1. What is the LCM of 5090 and 5096?

Answer: LCM of 5090 and 5096 is 12969320.

2. What are the Factors of 5090?

Answer: Factors of 5090 are 1, 2, 5, 10, 509, 1018, 2545, 5090. There are 8 integers that are factors of 5090. The greatest factor of 5090 is 5090.

3. What are the Factors of 5096?

Answer: Factors of 5096 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 49, 52, 56, 91, 98, 104, 182, 196, 364, 392, 637, 728, 1274, 2548, 5096. There are 24 integers that are factors of 5096. The greatest factor of 5096 is 5096.

4. How to Find the LCM of 5090 and 5096?

Answer:

Least Common Multiple of 5090 and 5096 = 12969320

Step 1: Find the prime factorization of 5090

5090 = 2 x 5 x 509

Step 2: Find the prime factorization of 5096

5096 = 2 x 2 x 2 x 7 x 7 x 13

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

LCM = 12969320 = 2 x 2 x 2 x 5 x 7 x 7 x 13 x 509

Step 4: Therefore, the least common multiple of 5090 and 5096 is 12969320.