Least Common Multiple of 5145 and 5151

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 5151 the smallest integer that is 8833965 that is divisible by both numbers.

Least Common Multiple (LCM) of 5145 and 5151 is 8833965.

LCM(5145,5151) = 8833965

LCM of 5145 and 5151

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

LCM of:
and

Least Common Multiple of 5145 and 5151

LCM of 5145 and 5151 is 8833965

Least common multiple can be found by multiplying the highest exponent prime factors of 5145 and 5151. First we will calculate the prime factors of 5145 and 5151.

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 5151


3 5151
17 1717
101 101
1

Prime factors of 5151 are 3, 17,101. Prime factorization of 5151 in exponential form is:

5151 = 31×171×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 5145 and 5151.

LCM(5145,5151) = 31×51×73×171×1011
LCM(5145,5151) = 8833965

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 5151

List of positive integer factors of 5151 that divides 5151 without a remainder.

1, 3, 17, 51, 101, 303, 1717, 5151

Least Common Multiple of 5145 and 5151 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 5151, than apply into the LCM equation.

GCF(5145,5151) = 3
LCM(5145,5151) = ( 5145 × 5151) / 3
LCM(5145,5151) = 26501895 / 3
LCM(5145,5151) = 8833965

Properties of LCM 5145 and 5151

(i) The LCM of 5151 and 5145 is associative

LCM of 5145 and 5151 = LCM of 5151 and 5145

Related Least Common Multiples of 5145

Related Least Common Multiples of 5151

Frequently Asked Questions on LCM of 5145 and 5151

1. What is the LCM of 5145 and 5151?

Answer: LCM of 5145 and 5151 is 8833965.

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 5151?

Answer: Factors of 5151 are 1, 3, 17, 51, 101, 303, 1717, 5151. There are 8 integers that are factors of 5151. The greatest factor of 5151 is 5151.

4. How to Find the LCM of 5145 and 5151?

Answer:

Least Common Multiple of 5145 and 5151 = 8833965

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 5151

5151 = 3 x 17 x 101

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

LCM = 8833965 = 3 x 5 x 7 x 7 x 7 x 17 x 101

Step 4: Therefore, the least common multiple of 5145 and 5151 is 8833965.