Least Common Multiple of 5084 and 5090

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5084 and 5090 the smallest integer that is 12938780 that is divisible by both numbers.

Least Common Multiple (LCM) of 5084 and 5090 is 12938780.

LCM(5084,5090) = 12938780

LCM of 5084 and 5090

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

LCM of:
and

Least Common Multiple of 5084 and 5090

LCM of 5084 and 5090 is 12938780

Least common multiple can be found by multiplying the highest exponent prime factors of 5084 and 5090. First we will calculate the prime factors of 5084 and 5090.

Prime Factorization of 5084


2 5084
2 2542
31 1271
41 41
1

Prime factors of 5084 are 2, 31,41. Prime factorization of 5084 in exponential form is:

5084 = 22×311×411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5084 and 5090.

LCM(5084,5090) = 22×51×311×411×5091
LCM(5084,5090) = 12938780

Factors of 5084

List of positive integer factors of 5084 that divides 5084 without a remainder.

1, 2, 4, 31, 41, 62, 82, 124, 164, 1271, 2542, 5084

Factors of 5090

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

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

Least Common Multiple of 5084 and 5090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5084 and 5090, than apply into the LCM equation.

GCF(5084,5090) = 2
LCM(5084,5090) = ( 5084 × 5090) / 2
LCM(5084,5090) = 25877560 / 2
LCM(5084,5090) = 12938780

Properties of LCM 5084 and 5090

(i) The LCM of 5090 and 5084 is associative

LCM of 5084 and 5090 = LCM of 5090 and 5084

Related Least Common Multiples of 5084

Related Least Common Multiples of 5090

Frequently Asked Questions on LCM of 5084 and 5090

1. What is the LCM of 5084 and 5090?

Answer: LCM of 5084 and 5090 is 12938780.

2. What are the Factors of 5084?

Answer: Factors of 5084 are 1, 2, 4, 31, 41, 62, 82, 124, 164, 1271, 2542, 5084. There are 12 integers that are factors of 5084. The greatest factor of 5084 is 5084.

3. 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.

4. How to Find the LCM of 5084 and 5090?

Answer:

Least Common Multiple of 5084 and 5090 = 12938780

Step 1: Find the prime factorization of 5084

5084 = 2 x 2 x 31 x 41

Step 2: Find the prime factorization of 5090

5090 = 2 x 5 x 509

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

LCM = 12938780 = 2 x 2 x 5 x 31 x 41 x 509

Step 4: Therefore, the least common multiple of 5084 and 5090 is 12938780.