Least Common Multiple of 131 and 135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 131 and 135 the smallest integer that is 17685 that is divisible by both numbers.

Least Common Multiple (LCM) of 131 and 135 is 17685.

LCM(131,135) = 17685

LCM of 131 and 135

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

LCM of:
and

Least Common Multiple of 131 and 135

LCM of 131 and 135 is 17685

Least common multiple can be found by multiplying the highest exponent prime factors of 131 and 135. First we will calculate the prime factors of 131 and 135.

Prime Factorization of 131


131 131
1

Prime factors of 131 are 131. Prime factorization of 131 in exponential form is:

131 = 1311

Prime Factorization of 135


3 135
3 45
3 15
5 5
1

Prime factors of 135 are 3,5. Prime factorization of 135 in exponential form is:

135 = 33×51

Now multiplying the highest exponent prime factors to calculate the LCM of 131 and 135.

LCM(131,135) = 33×51×1311
LCM(131,135) = 17685

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1, 131

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Least Common Multiple of 131 and 135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 131 and 135, than apply into the LCM equation.

GCF(131,135) = 1
LCM(131,135) = ( 131 × 135) / 1
LCM(131,135) = 17685 / 1
LCM(131,135) = 17685

Properties of LCM 131 and 135

(i) The LCM of 135 and 131 is associative

LCM of 131 and 135 = LCM of 135 and 131

Related Least Common Multiples of 131

Related Least Common Multiples of 135

Frequently Asked Questions on LCM of 131 and 135

1. What is the LCM of 131 and 135?

Answer: LCM of 131 and 135 is 17685.

2. What are the Factors of 131?

Answer: Factors of 131 are 1, 131. There are 2 integers that are factors of 131. The greatest factor of 131 is 131.

3. What are the Factors of 135?

Answer: Factors of 135 are 1, 3, 5, 9, 15, 27, 45, 135. There are 8 integers that are factors of 135. The greatest factor of 135 is 135.

4. How to Find the LCM of 131 and 135?

Answer:

Least Common Multiple of 131 and 135 = 17685

Step 1: Find the prime factorization of 131

131 = 131

Step 2: Find the prime factorization of 135

135 = 3 x 3 x 3 x 5

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

LCM = 17685 = 3 x 3 x 3 x 5 x 131

Step 4: Therefore, the least common multiple of 131 and 135 is 17685.