Least Common Multiple of 5153 and 5157

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5153 and 5157 the smallest integer that is 26574021 that is divisible by both numbers.

Least Common Multiple (LCM) of 5153 and 5157 is 26574021.

LCM(5153,5157) = 26574021

LCM of 5153 and 5157

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

LCM of:
and

Least Common Multiple of 5153 and 5157

LCM of 5153 and 5157 is 26574021

Least common multiple can be found by multiplying the highest exponent prime factors of 5153 and 5157. First we will calculate the prime factors of 5153 and 5157.

Prime Factorization of 5153


5153 5153
1

Prime factors of 5153 are 5153. Prime factorization of 5153 in exponential form is:

5153 = 51531

Prime Factorization of 5157


3 5157
3 1719
3 573
191 191
1

Prime factors of 5157 are 3,191. Prime factorization of 5157 in exponential form is:

5157 = 33×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 5153 and 5157.

LCM(5153,5157) = 33×1911×51531
LCM(5153,5157) = 26574021

Factors of 5153

List of positive integer factors of 5153 that divides 5153 without a remainder.

1, 5153

Factors of 5157

List of positive integer factors of 5157 that divides 5157 without a remainder.

1, 3, 9, 27, 191, 573, 1719, 5157

Least Common Multiple of 5153 and 5157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5153 and 5157, than apply into the LCM equation.

GCF(5153,5157) = 1
LCM(5153,5157) = ( 5153 × 5157) / 1
LCM(5153,5157) = 26574021 / 1
LCM(5153,5157) = 26574021

Properties of LCM 5153 and 5157

(i) The LCM of 5157 and 5153 is associative

LCM of 5153 and 5157 = LCM of 5157 and 5153

Related Least Common Multiples of 5153

Related Least Common Multiples of 5157

Frequently Asked Questions on LCM of 5153 and 5157

1. What is the LCM of 5153 and 5157?

Answer: LCM of 5153 and 5157 is 26574021.

2. What are the Factors of 5153?

Answer: Factors of 5153 are 1, 5153. There are 2 integers that are factors of 5153. The greatest factor of 5153 is 5153.

3. What are the Factors of 5157?

Answer: Factors of 5157 are 1, 3, 9, 27, 191, 573, 1719, 5157. There are 8 integers that are factors of 5157. The greatest factor of 5157 is 5157.

4. How to Find the LCM of 5153 and 5157?

Answer:

Least Common Multiple of 5153 and 5157 = 26574021

Step 1: Find the prime factorization of 5153

5153 = 5153

Step 2: Find the prime factorization of 5157

5157 = 3 x 3 x 3 x 191

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

LCM = 26574021 = 3 x 3 x 3 x 191 x 5153

Step 4: Therefore, the least common multiple of 5153 and 5157 is 26574021.