Least Common Multiple of 127 and 129

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 129 the smallest integer that is 16383 that is divisible by both numbers.

Least Common Multiple (LCM) of 127 and 129 is 16383.

LCM(127,129) = 16383

LCM of 127 and 129

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

LCM of:
and

Least Common Multiple of 127 and 129

LCM of 127 and 129 is 16383

Least common multiple can be found by multiplying the highest exponent prime factors of 127 and 129. First we will calculate the prime factors of 127 and 129.

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 129


3 129
43 43
1

Prime factors of 129 are 3,43. Prime factorization of 129 in exponential form is:

129 = 31×431

Now multiplying the highest exponent prime factors to calculate the LCM of 127 and 129.

LCM(127,129) = 31×431×1271
LCM(127,129) = 16383

Factors of 127

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

1, 127

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Least Common Multiple of 127 and 129 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 129, than apply into the LCM equation.

GCF(127,129) = 1
LCM(127,129) = ( 127 × 129) / 1
LCM(127,129) = 16383 / 1
LCM(127,129) = 16383

Properties of LCM 127 and 129

(i) The LCM of 129 and 127 is associative

LCM of 127 and 129 = LCM of 129 and 127

Related Least Common Multiples of 127

Related Least Common Multiples of 129

Frequently Asked Questions on LCM of 127 and 129

1. What is the LCM of 127 and 129?

Answer: LCM of 127 and 129 is 16383.

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 129?

Answer: Factors of 129 are 1, 3, 43, 129. There are 4 integers that are factors of 129. The greatest factor of 129 is 129.

4. How to Find the LCM of 127 and 129?

Answer:

Least Common Multiple of 127 and 129 = 16383

Step 1: Find the prime factorization of 127

127 = 127

Step 2: Find the prime factorization of 129

129 = 3 x 43

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

LCM = 16383 = 3 x 43 x 127

Step 4: Therefore, the least common multiple of 127 and 129 is 16383.