Least Common Multiple of 7135 and 7141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7135 and 7141 the smallest integer that is 50951035 that is divisible by both numbers.

Least Common Multiple (LCM) of 7135 and 7141 is 50951035.

LCM(7135,7141) = 50951035

LCM of 7135 and 7141

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

LCM of:
and

Least Common Multiple of 7135 and 7141

LCM of 7135 and 7141 is 50951035

Least common multiple can be found by multiplying the highest exponent prime factors of 7135 and 7141. First we will calculate the prime factors of 7135 and 7141.

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

Prime Factorization of 7141


37 7141
193 193
1

Prime factors of 7141 are 37,193. Prime factorization of 7141 in exponential form is:

7141 = 371×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 7135 and 7141.

LCM(7135,7141) = 51×371×1931×14271
LCM(7135,7141) = 50951035

Factors of 7135

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

1, 5, 1427, 7135

Factors of 7141

List of positive integer factors of 7141 that divides 7141 without a remainder.

1, 37, 193, 7141

Least Common Multiple of 7135 and 7141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7135 and 7141, than apply into the LCM equation.

GCF(7135,7141) = 1
LCM(7135,7141) = ( 7135 × 7141) / 1
LCM(7135,7141) = 50951035 / 1
LCM(7135,7141) = 50951035

Properties of LCM 7135 and 7141

(i) The LCM of 7141 and 7135 is associative

LCM of 7135 and 7141 = LCM of 7141 and 7135

Related Least Common Multiples of 7135

Related Least Common Multiples of 7141

Frequently Asked Questions on LCM of 7135 and 7141

1. What is the LCM of 7135 and 7141?

Answer: LCM of 7135 and 7141 is 50951035.

2. 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.

3. What are the Factors of 7141?

Answer: Factors of 7141 are 1, 37, 193, 7141. There are 4 integers that are factors of 7141. The greatest factor of 7141 is 7141.

4. How to Find the LCM of 7135 and 7141?

Answer:

Least Common Multiple of 7135 and 7141 = 50951035

Step 1: Find the prime factorization of 7135

7135 = 5 x 1427

Step 2: Find the prime factorization of 7141

7141 = 37 x 193

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

LCM = 50951035 = 5 x 37 x 193 x 1427

Step 4: Therefore, the least common multiple of 7135 and 7141 is 50951035.