Least Common Multiple of 127 and 133

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 133 the smallest integer that is 16891 that is divisible by both numbers.

Least Common Multiple (LCM) of 127 and 133 is 16891.

LCM(127,133) = 16891

LCM of 127 and 133

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

LCM of:
and

Least Common Multiple of 127 and 133

LCM of 127 and 133 is 16891

Least common multiple can be found by multiplying the highest exponent prime factors of 127 and 133. First we will calculate the prime factors of 127 and 133.

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 133


7 133
19 19
1

Prime factors of 133 are 7,19. Prime factorization of 133 in exponential form is:

133 = 71×191

Now multiplying the highest exponent prime factors to calculate the LCM of 127 and 133.

LCM(127,133) = 71×191×1271
LCM(127,133) = 16891

Factors of 127

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

1, 127

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Least Common Multiple of 127 and 133 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 133, than apply into the LCM equation.

GCF(127,133) = 1
LCM(127,133) = ( 127 × 133) / 1
LCM(127,133) = 16891 / 1
LCM(127,133) = 16891

Properties of LCM 127 and 133

(i) The LCM of 133 and 127 is associative

LCM of 127 and 133 = LCM of 133 and 127

Related Least Common Multiples of 127

Related Least Common Multiples of 133

Frequently Asked Questions on LCM of 127 and 133

1. What is the LCM of 127 and 133?

Answer: LCM of 127 and 133 is 16891.

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 133?

Answer: Factors of 133 are 1, 7, 19, 133. There are 4 integers that are factors of 133. The greatest factor of 133 is 133.

4. How to Find the LCM of 127 and 133?

Answer:

Least Common Multiple of 127 and 133 = 16891

Step 1: Find the prime factorization of 127

127 = 127

Step 2: Find the prime factorization of 133

133 = 7 x 19

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

LCM = 16891 = 7 x 19 x 127

Step 4: Therefore, the least common multiple of 127 and 133 is 16891.