Least Common Multiple of 127 and 134

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 134 the smallest integer that is 17018 that is divisible by both numbers.

Least Common Multiple (LCM) of 127 and 134 is 17018.

LCM(127,134) = 17018

LCM of 127 and 134

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

LCM of:
and

Least Common Multiple of 127 and 134

LCM of 127 and 134 is 17018

Least common multiple can be found by multiplying the highest exponent prime factors of 127 and 134. First we will calculate the prime factors of 127 and 134.

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 134


2 134
67 67
1

Prime factors of 134 are 2,67. Prime factorization of 134 in exponential form is:

134 = 21×671

Now multiplying the highest exponent prime factors to calculate the LCM of 127 and 134.

LCM(127,134) = 21×671×1271
LCM(127,134) = 17018

Factors of 127

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

1, 127

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Least Common Multiple of 127 and 134 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 134, than apply into the LCM equation.

GCF(127,134) = 1
LCM(127,134) = ( 127 × 134) / 1
LCM(127,134) = 17018 / 1
LCM(127,134) = 17018

Properties of LCM 127 and 134

(i) The LCM of 134 and 127 is associative

LCM of 127 and 134 = LCM of 134 and 127

Related Least Common Multiples of 127

Related Least Common Multiples of 134

Frequently Asked Questions on LCM of 127 and 134

1. What is the LCM of 127 and 134?

Answer: LCM of 127 and 134 is 17018.

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 134?

Answer: Factors of 134 are 1, 2, 67, 134. There are 4 integers that are factors of 134. The greatest factor of 134 is 134.

4. How to Find the LCM of 127 and 134?

Answer:

Least Common Multiple of 127 and 134 = 17018

Step 1: Find the prime factorization of 127

127 = 127

Step 2: Find the prime factorization of 134

134 = 2 x 67

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

LCM = 17018 = 2 x 67 x 127

Step 4: Therefore, the least common multiple of 127 and 134 is 17018.