Least Common Multiple of 5089 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 5089 and 5096 the smallest integer that is 3704792 that is divisible by both numbers.

Least Common Multiple (LCM) of 5089 and 5096 is 3704792.

LCM(5089,5096) = 3704792

LCM of 5089 and 5096

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

LCM of:
and

Least Common Multiple of 5089 and 5096

LCM of 5089 and 5096 is 3704792

Least common multiple can be found by multiplying the highest exponent prime factors of 5089 and 5096. First we will calculate the prime factors of 5089 and 5096.

Prime Factorization of 5089


7 5089
727 727
1

Prime factors of 5089 are 7,727. Prime factorization of 5089 in exponential form is:

5089 = 71×7271

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 5089 and 5096.

LCM(5089,5096) = 23×72×131×7271
LCM(5089,5096) = 3704792

Factors of 5089

List of positive integer factors of 5089 that divides 5089 without a remainder.

1, 7, 727, 5089

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 5089 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 5089 and 5096, than apply into the LCM equation.

GCF(5089,5096) = 7
LCM(5089,5096) = ( 5089 × 5096) / 7
LCM(5089,5096) = 25933544 / 7
LCM(5089,5096) = 3704792

Properties of LCM 5089 and 5096

(i) The LCM of 5096 and 5089 is associative

LCM of 5089 and 5096 = LCM of 5096 and 5089

Related Least Common Multiples of 5089

Related Least Common Multiples of 5096

Frequently Asked Questions on LCM of 5089 and 5096

1. What is the LCM of 5089 and 5096?

Answer: LCM of 5089 and 5096 is 3704792.

2. What are the Factors of 5089?

Answer: Factors of 5089 are 1, 7, 727, 5089. There are 4 integers that are factors of 5089. The greatest factor of 5089 is 5089.

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 5089 and 5096?

Answer:

Least Common Multiple of 5089 and 5096 = 3704792

Step 1: Find the prime factorization of 5089

5089 = 7 x 727

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 = 3704792 = 2 x 2 x 2 x 7 x 7 x 13 x 727

Step 4: Therefore, the least common multiple of 5089 and 5096 is 3704792.