Least Common Multiple of 5145 and 5150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5145 and 5150 the smallest integer that is 5299350 that is divisible by both numbers.

Least Common Multiple (LCM) of 5145 and 5150 is 5299350.

LCM(5145,5150) = 5299350

LCM of 5145 and 5150

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

LCM of:
and

Least Common Multiple of 5145 and 5150

LCM of 5145 and 5150 is 5299350

Least common multiple can be found by multiplying the highest exponent prime factors of 5145 and 5150. First we will calculate the prime factors of 5145 and 5150.

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

Prime Factorization of 5150


2 5150
5 2575
5 515
103 103
1

Prime factors of 5150 are 2, 5,103. Prime factorization of 5150 in exponential form is:

5150 = 21×52×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 5145 and 5150.

LCM(5145,5150) = 21×31×52×73×1031
LCM(5145,5150) = 5299350

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

Factors of 5150

List of positive integer factors of 5150 that divides 5150 without a remainder.

1, 2, 5, 10, 25, 50, 103, 206, 515, 1030, 2575, 5150

Least Common Multiple of 5145 and 5150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5145 and 5150, than apply into the LCM equation.

GCF(5145,5150) = 5
LCM(5145,5150) = ( 5145 × 5150) / 5
LCM(5145,5150) = 26496750 / 5
LCM(5145,5150) = 5299350

Properties of LCM 5145 and 5150

(i) The LCM of 5150 and 5145 is associative

LCM of 5145 and 5150 = LCM of 5150 and 5145

Related Least Common Multiples of 5145

Related Least Common Multiples of 5150

Frequently Asked Questions on LCM of 5145 and 5150

1. What is the LCM of 5145 and 5150?

Answer: LCM of 5145 and 5150 is 5299350.

2. 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.

3. What are the Factors of 5150?

Answer: Factors of 5150 are 1, 2, 5, 10, 25, 50, 103, 206, 515, 1030, 2575, 5150. There are 12 integers that are factors of 5150. The greatest factor of 5150 is 5150.

4. How to Find the LCM of 5145 and 5150?

Answer:

Least Common Multiple of 5145 and 5150 = 5299350

Step 1: Find the prime factorization of 5145

5145 = 3 x 5 x 7 x 7 x 7

Step 2: Find the prime factorization of 5150

5150 = 2 x 5 x 5 x 103

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

LCM = 5299350 = 2 x 3 x 5 x 5 x 7 x 7 x 7 x 103

Step 4: Therefore, the least common multiple of 5145 and 5150 is 5299350.