Least Common Multiple of 127 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 127 and 135 the smallest integer that is 17145 that is divisible by both numbers.

Least Common Multiple (LCM) of 127 and 135 is 17145.

LCM(127,135) = 17145

LCM of 127 and 135

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

LCM of:
and

Least Common Multiple of 127 and 135

LCM of 127 and 135 is 17145

Least common multiple can be found by multiplying the highest exponent prime factors of 127 and 135. First we will calculate the prime factors of 127 and 135.

Prime Factorization of 127


127 127
1

Prime factors of 127 are 127. Prime factorization of 127 in exponential form is:

127 = 1271

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 127 and 135.

LCM(127,135) = 33×51×1271
LCM(127,135) = 17145

Factors of 127

List of positive integer factors of 127 that divides 127 without a remainder.

1, 127

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 127 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 127 and 135, than apply into the LCM equation.

GCF(127,135) = 1
LCM(127,135) = ( 127 × 135) / 1
LCM(127,135) = 17145 / 1
LCM(127,135) = 17145

Properties of LCM 127 and 135

(i) The LCM of 135 and 127 is associative

LCM of 127 and 135 = LCM of 135 and 127

Related Least Common Multiples of 127

Related Least Common Multiples of 135

Frequently Asked Questions on LCM of 127 and 135

1. What is the LCM of 127 and 135?

Answer: LCM of 127 and 135 is 17145.

2. What are the Factors of 127?

Answer: Factors of 127 are 1, 127. There are 2 integers that are factors of 127. The greatest factor of 127 is 127.

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 127 and 135?

Answer:

Least Common Multiple of 127 and 135 = 17145

Step 1: Find the prime factorization of 127

127 = 127

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 = 17145 = 3 x 3 x 3 x 5 x 127

Step 4: Therefore, the least common multiple of 127 and 135 is 17145.