Least Common Multiple of 2140 and 2143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2140 and 2143 the smallest integer that is 4586020 that is divisible by both numbers.

Least Common Multiple (LCM) of 2140 and 2143 is 4586020.

LCM(2140,2143) = 4586020

LCM of 2140 and 2143

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

LCM of:
and

Least Common Multiple of 2140 and 2143

LCM of 2140 and 2143 is 4586020

Least common multiple can be found by multiplying the highest exponent prime factors of 2140 and 2143. First we will calculate the prime factors of 2140 and 2143.

Prime Factorization of 2140


2 2140
2 1070
5 535
107 107
1

Prime factors of 2140 are 2, 5,107. Prime factorization of 2140 in exponential form is:

2140 = 22×51×1071

Prime Factorization of 2143


2143 2143
1

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

2143 = 21431

Now multiplying the highest exponent prime factors to calculate the LCM of 2140 and 2143.

LCM(2140,2143) = 22×51×1071×21431
LCM(2140,2143) = 4586020

Factors of 2140

List of positive integer factors of 2140 that divides 2140 without a remainder.

1, 2, 4, 5, 10, 20, 107, 214, 428, 535, 1070, 2140

Factors of 2143

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

1, 2143

Least Common Multiple of 2140 and 2143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2140 and 2143, than apply into the LCM equation.

GCF(2140,2143) = 1
LCM(2140,2143) = ( 2140 × 2143) / 1
LCM(2140,2143) = 4586020 / 1
LCM(2140,2143) = 4586020

Properties of LCM 2140 and 2143

(i) The LCM of 2143 and 2140 is associative

LCM of 2140 and 2143 = LCM of 2143 and 2140

Related Least Common Multiples of 2140

Related Least Common Multiples of 2143

Frequently Asked Questions on LCM of 2140 and 2143

1. What is the LCM of 2140 and 2143?

Answer: LCM of 2140 and 2143 is 4586020.

2. What are the Factors of 2140?

Answer: Factors of 2140 are 1, 2, 4, 5, 10, 20, 107, 214, 428, 535, 1070, 2140. There are 12 integers that are factors of 2140. The greatest factor of 2140 is 2140.

3. 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.

4. How to Find the LCM of 2140 and 2143?

Answer:

Least Common Multiple of 2140 and 2143 = 4586020

Step 1: Find the prime factorization of 2140

2140 = 2 x 2 x 5 x 107

Step 2: Find the prime factorization of 2143

2143 = 2143

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

LCM = 4586020 = 2 x 2 x 5 x 107 x 2143

Step 4: Therefore, the least common multiple of 2140 and 2143 is 4586020.