Least Common Multiple of 2137 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 2137 and 2144 the smallest integer that is 4581728 that is divisible by both numbers.

Least Common Multiple (LCM) of 2137 and 2144 is 4581728.

LCM(2137,2144) = 4581728

LCM of 2137 and 2144

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

LCM of:
and

Least Common Multiple of 2137 and 2144

LCM of 2137 and 2144 is 4581728

Least common multiple can be found by multiplying the highest exponent prime factors of 2137 and 2144. First we will calculate the prime factors of 2137 and 2144.

Prime Factorization of 2137


2137 2137
1

Prime factors of 2137 are 2137. Prime factorization of 2137 in exponential form is:

2137 = 21371

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 2137 and 2144.

LCM(2137,2144) = 25×671×21371
LCM(2137,2144) = 4581728

Factors of 2137

List of positive integer factors of 2137 that divides 2137 without a remainder.

1, 2137

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 2137 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 2137 and 2144, than apply into the LCM equation.

GCF(2137,2144) = 1
LCM(2137,2144) = ( 2137 × 2144) / 1
LCM(2137,2144) = 4581728 / 1
LCM(2137,2144) = 4581728

Properties of LCM 2137 and 2144

(i) The LCM of 2144 and 2137 is associative

LCM of 2137 and 2144 = LCM of 2144 and 2137

Related Least Common Multiples of 2137

Related Least Common Multiples of 2144

Frequently Asked Questions on LCM of 2137 and 2144

1. What is the LCM of 2137 and 2144?

Answer: LCM of 2137 and 2144 is 4581728.

2. What are the Factors of 2137?

Answer: Factors of 2137 are 1, 2137. There are 2 integers that are factors of 2137. The greatest factor of 2137 is 2137.

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 2137 and 2144?

Answer:

Least Common Multiple of 2137 and 2144 = 4581728

Step 1: Find the prime factorization of 2137

2137 = 2137

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 = 4581728 = 2 x 2 x 2 x 2 x 2 x 67 x 2137

Step 4: Therefore, the least common multiple of 2137 and 2144 is 4581728.