Least Common Multiple of 5084 and 5092

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 5092 the smallest integer that is 6471932 that is divisible by both numbers.

Least Common Multiple (LCM) of 5084 and 5092 is 6471932.

LCM(5084,5092) = 6471932

LCM of 5084 and 5092

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

LCM of:
and

Least Common Multiple of 5084 and 5092

LCM of 5084 and 5092 is 6471932

Least common multiple can be found by multiplying the highest exponent prime factors of 5084 and 5092. First we will calculate the prime factors of 5084 and 5092.

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 5092


2 5092
2 2546
19 1273
67 67
1

Prime factors of 5092 are 2, 19,67. Prime factorization of 5092 in exponential form is:

5092 = 22×191×671

Now multiplying the highest exponent prime factors to calculate the LCM of 5084 and 5092.

LCM(5084,5092) = 22×191×311×411×671
LCM(5084,5092) = 6471932

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 5092

List of positive integer factors of 5092 that divides 5092 without a remainder.

1, 2, 4, 19, 38, 67, 76, 134, 268, 1273, 2546, 5092

Least Common Multiple of 5084 and 5092 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 5092, than apply into the LCM equation.

GCF(5084,5092) = 4
LCM(5084,5092) = ( 5084 × 5092) / 4
LCM(5084,5092) = 25887728 / 4
LCM(5084,5092) = 6471932

Properties of LCM 5084 and 5092

(i) The LCM of 5092 and 5084 is associative

LCM of 5084 and 5092 = LCM of 5092 and 5084

Related Least Common Multiples of 5084

Related Least Common Multiples of 5092

Frequently Asked Questions on LCM of 5084 and 5092

1. What is the LCM of 5084 and 5092?

Answer: LCM of 5084 and 5092 is 6471932.

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 5092?

Answer: Factors of 5092 are 1, 2, 4, 19, 38, 67, 76, 134, 268, 1273, 2546, 5092. There are 12 integers that are factors of 5092. The greatest factor of 5092 is 5092.

4. How to Find the LCM of 5084 and 5092?

Answer:

Least Common Multiple of 5084 and 5092 = 6471932

Step 1: Find the prime factorization of 5084

5084 = 2 x 2 x 31 x 41

Step 2: Find the prime factorization of 5092

5092 = 2 x 2 x 19 x 67

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

LCM = 6471932 = 2 x 2 x 19 x 31 x 41 x 67

Step 4: Therefore, the least common multiple of 5084 and 5092 is 6471932.