Least Common Multiple of 2127 and 2131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2127 and 2131 the smallest integer that is 4532637 that is divisible by both numbers.

Least Common Multiple (LCM) of 2127 and 2131 is 4532637.

LCM(2127,2131) = 4532637

LCM of 2127 and 2131

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

LCM of:
and

Least Common Multiple of 2127 and 2131

LCM of 2127 and 2131 is 4532637

Least common multiple can be found by multiplying the highest exponent prime factors of 2127 and 2131. First we will calculate the prime factors of 2127 and 2131.

Prime Factorization of 2127


3 2127
709 709
1

Prime factors of 2127 are 3,709. Prime factorization of 2127 in exponential form is:

2127 = 31×7091

Prime Factorization of 2131


2131 2131
1

Prime factors of 2131 are 2131. Prime factorization of 2131 in exponential form is:

2131 = 21311

Now multiplying the highest exponent prime factors to calculate the LCM of 2127 and 2131.

LCM(2127,2131) = 31×7091×21311
LCM(2127,2131) = 4532637

Factors of 2127

List of positive integer factors of 2127 that divides 2127 without a remainder.

1, 3, 709, 2127

Factors of 2131

List of positive integer factors of 2131 that divides 2131 without a remainder.

1, 2131

Least Common Multiple of 2127 and 2131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2127 and 2131, than apply into the LCM equation.

GCF(2127,2131) = 1
LCM(2127,2131) = ( 2127 × 2131) / 1
LCM(2127,2131) = 4532637 / 1
LCM(2127,2131) = 4532637

Properties of LCM 2127 and 2131

(i) The LCM of 2131 and 2127 is associative

LCM of 2127 and 2131 = LCM of 2131 and 2127

Related Least Common Multiples of 2127

Related Least Common Multiples of 2131

Frequently Asked Questions on LCM of 2127 and 2131

1. What is the LCM of 2127 and 2131?

Answer: LCM of 2127 and 2131 is 4532637.

2. What are the Factors of 2127?

Answer: Factors of 2127 are 1, 3, 709, 2127. There are 4 integers that are factors of 2127. The greatest factor of 2127 is 2127.

3. What are the Factors of 2131?

Answer: Factors of 2131 are 1, 2131. There are 2 integers that are factors of 2131. The greatest factor of 2131 is 2131.

4. How to Find the LCM of 2127 and 2131?

Answer:

Least Common Multiple of 2127 and 2131 = 4532637

Step 1: Find the prime factorization of 2127

2127 = 3 x 709

Step 2: Find the prime factorization of 2131

2131 = 2131

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

LCM = 4532637 = 3 x 709 x 2131

Step 4: Therefore, the least common multiple of 2127 and 2131 is 4532637.