Least Common Multiple of 2143 and 2149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2143 and 2149 the smallest integer that is 4605307 that is divisible by both numbers.

Least Common Multiple (LCM) of 2143 and 2149 is 4605307.

LCM(2143,2149) = 4605307

LCM of 2143 and 2149

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

LCM of:
and

Least Common Multiple of 2143 and 2149

LCM of 2143 and 2149 is 4605307

Least common multiple can be found by multiplying the highest exponent prime factors of 2143 and 2149. First we will calculate the prime factors of 2143 and 2149.

Prime Factorization of 2143


2143 2143
1

Prime factors of 2143 are 2143. Prime factorization of 2143 in exponential form is:

2143 = 21431

Prime Factorization of 2149


7 2149
307 307
1

Prime factors of 2149 are 7,307. Prime factorization of 2149 in exponential form is:

2149 = 71×3071

Now multiplying the highest exponent prime factors to calculate the LCM of 2143 and 2149.

LCM(2143,2149) = 71×3071×21431
LCM(2143,2149) = 4605307

Factors of 2143

List of positive integer factors of 2143 that divides 2143 without a remainder.

1, 2143

Factors of 2149

List of positive integer factors of 2149 that divides 2149 without a remainder.

1, 7, 307, 2149

Least Common Multiple of 2143 and 2149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2143 and 2149, than apply into the LCM equation.

GCF(2143,2149) = 1
LCM(2143,2149) = ( 2143 × 2149) / 1
LCM(2143,2149) = 4605307 / 1
LCM(2143,2149) = 4605307

Properties of LCM 2143 and 2149

(i) The LCM of 2149 and 2143 is associative

LCM of 2143 and 2149 = LCM of 2149 and 2143

Related Least Common Multiples of 2143

Related Least Common Multiples of 2149

Frequently Asked Questions on LCM of 2143 and 2149

1. What is the LCM of 2143 and 2149?

Answer: LCM of 2143 and 2149 is 4605307.

2. What are the Factors of 2143?

Answer: Factors of 2143 are 1, 2143. There are 2 integers that are factors of 2143. The greatest factor of 2143 is 2143.

3. What are the Factors of 2149?

Answer: Factors of 2149 are 1, 7, 307, 2149. There are 4 integers that are factors of 2149. The greatest factor of 2149 is 2149.

4. How to Find the LCM of 2143 and 2149?

Answer:

Least Common Multiple of 2143 and 2149 = 4605307

Step 1: Find the prime factorization of 2143

2143 = 2143

Step 2: Find the prime factorization of 2149

2149 = 7 x 307

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

LCM = 4605307 = 7 x 307 x 2143

Step 4: Therefore, the least common multiple of 2143 and 2149 is 4605307.