Least Common Multiple of 5118 and 5123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5118 and 5123 the smallest integer that is 26219514 that is divisible by both numbers.

Least Common Multiple (LCM) of 5118 and 5123 is 26219514.

LCM(5118,5123) = 26219514

LCM of 5118 and 5123

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

LCM of:
and

Least Common Multiple of 5118 and 5123

LCM of 5118 and 5123 is 26219514

Least common multiple can be found by multiplying the highest exponent prime factors of 5118 and 5123. First we will calculate the prime factors of 5118 and 5123.

Prime Factorization of 5118


2 5118
3 2559
853 853
1

Prime factors of 5118 are 2, 3,853. Prime factorization of 5118 in exponential form is:

5118 = 21×31×8531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5118 and 5123.

LCM(5118,5123) = 21×31×471×1091×8531
LCM(5118,5123) = 26219514

Factors of 5118

List of positive integer factors of 5118 that divides 5118 without a remainder.

1, 2, 3, 6, 853, 1706, 2559, 5118

Factors of 5123

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

1, 47, 109, 5123

Least Common Multiple of 5118 and 5123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5118 and 5123, than apply into the LCM equation.

GCF(5118,5123) = 1
LCM(5118,5123) = ( 5118 × 5123) / 1
LCM(5118,5123) = 26219514 / 1
LCM(5118,5123) = 26219514

Properties of LCM 5118 and 5123

(i) The LCM of 5123 and 5118 is associative

LCM of 5118 and 5123 = LCM of 5123 and 5118

Related Least Common Multiples of 5118

Related Least Common Multiples of 5123

Frequently Asked Questions on LCM of 5118 and 5123

1. What is the LCM of 5118 and 5123?

Answer: LCM of 5118 and 5123 is 26219514.

2. What are the Factors of 5118?

Answer: Factors of 5118 are 1, 2, 3, 6, 853, 1706, 2559, 5118. There are 8 integers that are factors of 5118. The greatest factor of 5118 is 5118.

3. 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.

4. How to Find the LCM of 5118 and 5123?

Answer:

Least Common Multiple of 5118 and 5123 = 26219514

Step 1: Find the prime factorization of 5118

5118 = 2 x 3 x 853

Step 2: Find the prime factorization of 5123

5123 = 47 x 109

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

LCM = 26219514 = 2 x 3 x 47 x 109 x 853

Step 4: Therefore, the least common multiple of 5118 and 5123 is 26219514.