Least Common Multiple of 2123 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 2123 and 2131 the smallest integer that is 4524113 that is divisible by both numbers.

Least Common Multiple (LCM) of 2123 and 2131 is 4524113.

LCM(2123,2131) = 4524113

LCM of 2123 and 2131

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

LCM of:
and

Least Common Multiple of 2123 and 2131

LCM of 2123 and 2131 is 4524113

Least common multiple can be found by multiplying the highest exponent prime factors of 2123 and 2131. First we will calculate the prime factors of 2123 and 2131.

Prime Factorization of 2123


11 2123
193 193
1

Prime factors of 2123 are 11,193. Prime factorization of 2123 in exponential form is:

2123 = 111×1931

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 2123 and 2131.

LCM(2123,2131) = 111×1931×21311
LCM(2123,2131) = 4524113

Factors of 2123

List of positive integer factors of 2123 that divides 2123 without a remainder.

1, 11, 193, 2123

Factors of 2131

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

1, 2131

Least Common Multiple of 2123 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 2123 and 2131, than apply into the LCM equation.

GCF(2123,2131) = 1
LCM(2123,2131) = ( 2123 × 2131) / 1
LCM(2123,2131) = 4524113 / 1
LCM(2123,2131) = 4524113

Properties of LCM 2123 and 2131

(i) The LCM of 2131 and 2123 is associative

LCM of 2123 and 2131 = LCM of 2131 and 2123

Related Least Common Multiples of 2123

Related Least Common Multiples of 2131

Frequently Asked Questions on LCM of 2123 and 2131

1. What is the LCM of 2123 and 2131?

Answer: LCM of 2123 and 2131 is 4524113.

2. What are the Factors of 2123?

Answer: Factors of 2123 are 1, 11, 193, 2123. There are 4 integers that are factors of 2123. The greatest factor of 2123 is 2123.

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 2123 and 2131?

Answer:

Least Common Multiple of 2123 and 2131 = 4524113

Step 1: Find the prime factorization of 2123

2123 = 11 x 193

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 = 4524113 = 11 x 193 x 2131

Step 4: Therefore, the least common multiple of 2123 and 2131 is 4524113.