Least Common Multiple of 5092 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 5092 and 5096 the smallest integer that is 6487208 that is divisible by both numbers.

Least Common Multiple (LCM) of 5092 and 5096 is 6487208.

LCM(5092,5096) = 6487208

LCM of 5092 and 5096

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

LCM of:
and

Least Common Multiple of 5092 and 5096

LCM of 5092 and 5096 is 6487208

Least common multiple can be found by multiplying the highest exponent prime factors of 5092 and 5096. First we will calculate the prime factors of 5092 and 5096.

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

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 5092 and 5096.

LCM(5092,5096) = 23×72×131×191×671
LCM(5092,5096) = 6487208

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

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 5092 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 5092 and 5096, than apply into the LCM equation.

GCF(5092,5096) = 4
LCM(5092,5096) = ( 5092 × 5096) / 4
LCM(5092,5096) = 25948832 / 4
LCM(5092,5096) = 6487208

Properties of LCM 5092 and 5096

(i) The LCM of 5096 and 5092 is associative

LCM of 5092 and 5096 = LCM of 5096 and 5092

Related Least Common Multiples of 5092

Related Least Common Multiples of 5096

Frequently Asked Questions on LCM of 5092 and 5096

1. What is the LCM of 5092 and 5096?

Answer: LCM of 5092 and 5096 is 6487208.

2. 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.

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 5092 and 5096?

Answer:

Least Common Multiple of 5092 and 5096 = 6487208

Step 1: Find the prime factorization of 5092

5092 = 2 x 2 x 19 x 67

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 = 6487208 = 2 x 2 x 2 x 7 x 7 x 13 x 19 x 67

Step 4: Therefore, the least common multiple of 5092 and 5096 is 6487208.