Least Common Multiple of 2140 and 2144

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 2144 the smallest integer that is 1147040 that is divisible by both numbers.

Least Common Multiple (LCM) of 2140 and 2144 is 1147040.

LCM(2140,2144) = 1147040

LCM of 2140 and 2144

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

LCM of:
and

Least Common Multiple of 2140 and 2144

LCM of 2140 and 2144 is 1147040

Least common multiple can be found by multiplying the highest exponent prime factors of 2140 and 2144. First we will calculate the prime factors of 2140 and 2144.

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 2144


2 2144
2 1072
2 536
2 268
2 134
67 67
1

Prime factors of 2144 are 2,67. Prime factorization of 2144 in exponential form is:

2144 = 25×671

Now multiplying the highest exponent prime factors to calculate the LCM of 2140 and 2144.

LCM(2140,2144) = 25×51×671×1071
LCM(2140,2144) = 1147040

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 2144

List of positive integer factors of 2144 that divides 2144 without a remainder.

1, 2, 4, 8, 16, 32, 67, 134, 268, 536, 1072, 2144

Least Common Multiple of 2140 and 2144 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 2144, than apply into the LCM equation.

GCF(2140,2144) = 4
LCM(2140,2144) = ( 2140 × 2144) / 4
LCM(2140,2144) = 4588160 / 4
LCM(2140,2144) = 1147040

Properties of LCM 2140 and 2144

(i) The LCM of 2144 and 2140 is associative

LCM of 2140 and 2144 = LCM of 2144 and 2140

Related Least Common Multiples of 2140

Related Least Common Multiples of 2144

Frequently Asked Questions on LCM of 2140 and 2144

1. What is the LCM of 2140 and 2144?

Answer: LCM of 2140 and 2144 is 1147040.

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 2144?

Answer: Factors of 2144 are 1, 2, 4, 8, 16, 32, 67, 134, 268, 536, 1072, 2144. There are 12 integers that are factors of 2144. The greatest factor of 2144 is 2144.

4. How to Find the LCM of 2140 and 2144?

Answer:

Least Common Multiple of 2140 and 2144 = 1147040

Step 1: Find the prime factorization of 2140

2140 = 2 x 2 x 5 x 107

Step 2: Find the prime factorization of 2144

2144 = 2 x 2 x 2 x 2 x 2 x 67

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

LCM = 1147040 = 2 x 2 x 2 x 2 x 2 x 5 x 67 x 107

Step 4: Therefore, the least common multiple of 2140 and 2144 is 1147040.