Least Common Multiple of 2138 and 2140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2138 and 2140 the smallest integer that is 2287660 that is divisible by both numbers.

Least Common Multiple (LCM) of 2138 and 2140 is 2287660.

LCM(2138,2140) = 2287660

LCM of 2138 and 2140

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

LCM of:
and

Least Common Multiple of 2138 and 2140

LCM of 2138 and 2140 is 2287660

Least common multiple can be found by multiplying the highest exponent prime factors of 2138 and 2140. First we will calculate the prime factors of 2138 and 2140.

Prime Factorization of 2138


2 2138
1069 1069
1

Prime factors of 2138 are 2,1069. Prime factorization of 2138 in exponential form is:

2138 = 21×10691

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2138 and 2140.

LCM(2138,2140) = 22×51×1071×10691
LCM(2138,2140) = 2287660

Factors of 2138

List of positive integer factors of 2138 that divides 2138 without a remainder.

1, 2, 1069, 2138

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

Least Common Multiple of 2138 and 2140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2138 and 2140, than apply into the LCM equation.

GCF(2138,2140) = 2
LCM(2138,2140) = ( 2138 × 2140) / 2
LCM(2138,2140) = 4575320 / 2
LCM(2138,2140) = 2287660

Properties of LCM 2138 and 2140

(i) The LCM of 2140 and 2138 is associative

LCM of 2138 and 2140 = LCM of 2140 and 2138

Related Least Common Multiples of 2138

Related Least Common Multiples of 2140

Frequently Asked Questions on LCM of 2138 and 2140

1. What is the LCM of 2138 and 2140?

Answer: LCM of 2138 and 2140 is 2287660.

2. What are the Factors of 2138?

Answer: Factors of 2138 are 1, 2, 1069, 2138. There are 4 integers that are factors of 2138. The greatest factor of 2138 is 2138.

3. 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.

4. How to Find the LCM of 2138 and 2140?

Answer:

Least Common Multiple of 2138 and 2140 = 2287660

Step 1: Find the prime factorization of 2138

2138 = 2 x 1069

Step 2: Find the prime factorization of 2140

2140 = 2 x 2 x 5 x 107

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

LCM = 2287660 = 2 x 2 x 5 x 107 x 1069

Step 4: Therefore, the least common multiple of 2138 and 2140 is 2287660.