Least Common Multiple of 5139 and 5145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5139 and 5145 the smallest integer that is 8813385 that is divisible by both numbers.

Least Common Multiple (LCM) of 5139 and 5145 is 8813385.

LCM(5139,5145) = 8813385

LCM of 5139 and 5145

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

LCM of:
and

Least Common Multiple of 5139 and 5145

LCM of 5139 and 5145 is 8813385

Least common multiple can be found by multiplying the highest exponent prime factors of 5139 and 5145. First we will calculate the prime factors of 5139 and 5145.

Prime Factorization of 5139


3 5139
3 1713
571 571
1

Prime factors of 5139 are 3,571. Prime factorization of 5139 in exponential form is:

5139 = 32×5711

Prime Factorization of 5145


3 5145
5 1715
7 343
7 49
7 7
1

Prime factors of 5145 are 3, 5,7. Prime factorization of 5145 in exponential form is:

5145 = 31×51×73

Now multiplying the highest exponent prime factors to calculate the LCM of 5139 and 5145.

LCM(5139,5145) = 32×51×73×5711
LCM(5139,5145) = 8813385

Factors of 5139

List of positive integer factors of 5139 that divides 5139 without a remainder.

1, 3, 9, 571, 1713, 5139

Factors of 5145

List of positive integer factors of 5145 that divides 5145 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 343, 735, 1029, 1715, 5145

Least Common Multiple of 5139 and 5145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5139 and 5145, than apply into the LCM equation.

GCF(5139,5145) = 3
LCM(5139,5145) = ( 5139 × 5145) / 3
LCM(5139,5145) = 26440155 / 3
LCM(5139,5145) = 8813385

Properties of LCM 5139 and 5145

(i) The LCM of 5145 and 5139 is associative

LCM of 5139 and 5145 = LCM of 5145 and 5139

Related Least Common Multiples of 5139

Related Least Common Multiples of 5145

Frequently Asked Questions on LCM of 5139 and 5145

1. What is the LCM of 5139 and 5145?

Answer: LCM of 5139 and 5145 is 8813385.

2. What are the Factors of 5139?

Answer: Factors of 5139 are 1, 3, 9, 571, 1713, 5139. There are 6 integers that are factors of 5139. The greatest factor of 5139 is 5139.

3. What are the Factors of 5145?

Answer: Factors of 5145 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 343, 735, 1029, 1715, 5145. There are 16 integers that are factors of 5145. The greatest factor of 5145 is 5145.

4. How to Find the LCM of 5139 and 5145?

Answer:

Least Common Multiple of 5139 and 5145 = 8813385

Step 1: Find the prime factorization of 5139

5139 = 3 x 3 x 571

Step 2: Find the prime factorization of 5145

5145 = 3 x 5 x 7 x 7 x 7

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

LCM = 8813385 = 3 x 3 x 5 x 7 x 7 x 7 x 571

Step 4: Therefore, the least common multiple of 5139 and 5145 is 8813385.