Least Common Multiple of 2138 and 2139

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 2139 the smallest integer that is 4573182 that is divisible by both numbers.

Least Common Multiple (LCM) of 2138 and 2139 is 4573182.

LCM(2138,2139) = 4573182

LCM of 2138 and 2139

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

LCM of:
and

Least Common Multiple of 2138 and 2139

LCM of 2138 and 2139 is 4573182

Least common multiple can be found by multiplying the highest exponent prime factors of 2138 and 2139. First we will calculate the prime factors of 2138 and 2139.

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 2139


3 2139
23 713
31 31
1

Prime factors of 2139 are 3, 23,31. Prime factorization of 2139 in exponential form is:

2139 = 31×231×311

Now multiplying the highest exponent prime factors to calculate the LCM of 2138 and 2139.

LCM(2138,2139) = 21×31×231×311×10691
LCM(2138,2139) = 4573182

Factors of 2138

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

1, 2, 1069, 2138

Factors of 2139

List of positive integer factors of 2139 that divides 2139 without a remainder.

1, 3, 23, 31, 69, 93, 713, 2139

Least Common Multiple of 2138 and 2139 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 2139, than apply into the LCM equation.

GCF(2138,2139) = 1
LCM(2138,2139) = ( 2138 × 2139) / 1
LCM(2138,2139) = 4573182 / 1
LCM(2138,2139) = 4573182

Properties of LCM 2138 and 2139

(i) The LCM of 2139 and 2138 is associative

LCM of 2138 and 2139 = LCM of 2139 and 2138

Related Least Common Multiples of 2138

Related Least Common Multiples of 2139

Frequently Asked Questions on LCM of 2138 and 2139

1. What is the LCM of 2138 and 2139?

Answer: LCM of 2138 and 2139 is 4573182.

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 2139?

Answer: Factors of 2139 are 1, 3, 23, 31, 69, 93, 713, 2139. There are 8 integers that are factors of 2139. The greatest factor of 2139 is 2139.

4. How to Find the LCM of 2138 and 2139?

Answer:

Least Common Multiple of 2138 and 2139 = 4573182

Step 1: Find the prime factorization of 2138

2138 = 2 x 1069

Step 2: Find the prime factorization of 2139

2139 = 3 x 23 x 31

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

LCM = 4573182 = 2 x 3 x 23 x 31 x 1069

Step 4: Therefore, the least common multiple of 2138 and 2139 is 4573182.