Least Common Multiple of 7127 and 7135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 7127 and 7135 the smallest integer that is 50851145 that is divisible by both numbers.

Least Common Multiple (LCM) of 7127 and 7135 is 50851145.

LCM(7127,7135) = 50851145

LCM of 7127 and 7135

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

LCM of:
and

Least Common Multiple of 7127 and 7135

LCM of 7127 and 7135 is 50851145

Least common multiple can be found by multiplying the highest exponent prime factors of 7127 and 7135. First we will calculate the prime factors of 7127 and 7135.

Prime Factorization of 7127


7127 7127
1

Prime factors of 7127 are 7127. Prime factorization of 7127 in exponential form is:

7127 = 71271

Prime Factorization of 7135


5 7135
1427 1427
1

Prime factors of 7135 are 5,1427. Prime factorization of 7135 in exponential form is:

7135 = 51×14271

Now multiplying the highest exponent prime factors to calculate the LCM of 7127 and 7135.

LCM(7127,7135) = 51×14271×71271
LCM(7127,7135) = 50851145

Factors of 7127

List of positive integer factors of 7127 that divides 7127 without a remainder.

1, 7127

Factors of 7135

List of positive integer factors of 7135 that divides 7135 without a remainder.

1, 5, 1427, 7135

Least Common Multiple of 7127 and 7135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7127 and 7135, than apply into the LCM equation.

GCF(7127,7135) = 1
LCM(7127,7135) = ( 7127 × 7135) / 1
LCM(7127,7135) = 50851145 / 1
LCM(7127,7135) = 50851145

Properties of LCM 7127 and 7135

(i) The LCM of 7135 and 7127 is associative

LCM of 7127 and 7135 = LCM of 7135 and 7127

Frequently Asked Questions on LCM of 7127 and 7135

1. What is the LCM of 7127 and 7135?

Answer: LCM of 7127 and 7135 is 50851145.

2. What are the Factors of 7127?

Answer: Factors of 7127 are 1, 7127. There are 2 integers that are factors of 7127. The greatest factor of 7127 is 7127.

3. What are the Factors of 7135?

Answer: Factors of 7135 are 1, 5, 1427, 7135. There are 4 integers that are factors of 7135. The greatest factor of 7135 is 7135.

4. How to Find the LCM of 7127 and 7135?

Answer:

Least Common Multiple of 7127 and 7135 = 50851145

Step 1: Find the prime factorization of 7127

7127 = 7127

Step 2: Find the prime factorization of 7135

7135 = 5 x 1427

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

LCM = 50851145 = 5 x 1427 x 7127

Step 4: Therefore, the least common multiple of 7127 and 7135 is 50851145.