Least Common Multiple of 5123 and 5131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5123 and 5131 the smallest integer that is 26286113 that is divisible by both numbers.

Least Common Multiple (LCM) of 5123 and 5131 is 26286113.

LCM(5123,5131) = 26286113

LCM of 5123 and 5131

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

LCM of:
and

Least Common Multiple of 5123 and 5131

LCM of 5123 and 5131 is 26286113

Least common multiple can be found by multiplying the highest exponent prime factors of 5123 and 5131. First we will calculate the prime factors of 5123 and 5131.

Prime Factorization of 5123


47 5123
109 109
1

Prime factors of 5123 are 47,109. Prime factorization of 5123 in exponential form is:

5123 = 471×1091

Prime Factorization of 5131


7 5131
733 733
1

Prime factors of 5131 are 7,733. Prime factorization of 5131 in exponential form is:

5131 = 71×7331

Now multiplying the highest exponent prime factors to calculate the LCM of 5123 and 5131.

LCM(5123,5131) = 71×471×1091×7331
LCM(5123,5131) = 26286113

Factors of 5123

List of positive integer factors of 5123 that divides 5123 without a remainder.

1, 47, 109, 5123

Factors of 5131

List of positive integer factors of 5131 that divides 5131 without a remainder.

1, 7, 733, 5131

Least Common Multiple of 5123 and 5131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5123 and 5131, than apply into the LCM equation.

GCF(5123,5131) = 1
LCM(5123,5131) = ( 5123 × 5131) / 1
LCM(5123,5131) = 26286113 / 1
LCM(5123,5131) = 26286113

Properties of LCM 5123 and 5131

(i) The LCM of 5131 and 5123 is associative

LCM of 5123 and 5131 = LCM of 5131 and 5123

Related Least Common Multiples of 5123

Related Least Common Multiples of 5131

Frequently Asked Questions on LCM of 5123 and 5131

1. What is the LCM of 5123 and 5131?

Answer: LCM of 5123 and 5131 is 26286113.

2. What are the Factors of 5123?

Answer: Factors of 5123 are 1, 47, 109, 5123. There are 4 integers that are factors of 5123. The greatest factor of 5123 is 5123.

3. What are the Factors of 5131?

Answer: Factors of 5131 are 1, 7, 733, 5131. There are 4 integers that are factors of 5131. The greatest factor of 5131 is 5131.

4. How to Find the LCM of 5123 and 5131?

Answer:

Least Common Multiple of 5123 and 5131 = 26286113

Step 1: Find the prime factorization of 5123

5123 = 47 x 109

Step 2: Find the prime factorization of 5131

5131 = 7 x 733

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

LCM = 26286113 = 7 x 47 x 109 x 733

Step 4: Therefore, the least common multiple of 5123 and 5131 is 26286113.