Least Common Multiple of 2140 and 2141

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 2141 the smallest integer that is 4581740 that is divisible by both numbers.

Least Common Multiple (LCM) of 2140 and 2141 is 4581740.

LCM(2140,2141) = 4581740

LCM of 2140 and 2141

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

LCM of:
and

Least Common Multiple of 2140 and 2141

LCM of 2140 and 2141 is 4581740

Least common multiple can be found by multiplying the highest exponent prime factors of 2140 and 2141. First we will calculate the prime factors of 2140 and 2141.

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 2141


2141 2141
1

Prime factors of 2141 are 2141. Prime factorization of 2141 in exponential form is:

2141 = 21411

Now multiplying the highest exponent prime factors to calculate the LCM of 2140 and 2141.

LCM(2140,2141) = 22×51×1071×21411
LCM(2140,2141) = 4581740

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 2141

List of positive integer factors of 2141 that divides 2141 without a remainder.

1, 2141

Least Common Multiple of 2140 and 2141 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 2141, than apply into the LCM equation.

GCF(2140,2141) = 1
LCM(2140,2141) = ( 2140 × 2141) / 1
LCM(2140,2141) = 4581740 / 1
LCM(2140,2141) = 4581740

Properties of LCM 2140 and 2141

(i) The LCM of 2141 and 2140 is associative

LCM of 2140 and 2141 = LCM of 2141 and 2140

Related Least Common Multiples of 2140

Related Least Common Multiples of 2141

Frequently Asked Questions on LCM of 2140 and 2141

1. What is the LCM of 2140 and 2141?

Answer: LCM of 2140 and 2141 is 4581740.

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 2141?

Answer: Factors of 2141 are 1, 2141. There are 2 integers that are factors of 2141. The greatest factor of 2141 is 2141.

4. How to Find the LCM of 2140 and 2141?

Answer:

Least Common Multiple of 2140 and 2141 = 4581740

Step 1: Find the prime factorization of 2140

2140 = 2 x 2 x 5 x 107

Step 2: Find the prime factorization of 2141

2141 = 2141

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

LCM = 4581740 = 2 x 2 x 5 x 107 x 2141

Step 4: Therefore, the least common multiple of 2140 and 2141 is 4581740.