Least Common Multiple of 2137 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 2137 and 2141 the smallest integer that is 4575317 that is divisible by both numbers.

Least Common Multiple (LCM) of 2137 and 2141 is 4575317.

LCM(2137,2141) = 4575317

LCM of 2137 and 2141

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

LCM of:
and

Least Common Multiple of 2137 and 2141

LCM of 2137 and 2141 is 4575317

Least common multiple can be found by multiplying the highest exponent prime factors of 2137 and 2141. First we will calculate the prime factors of 2137 and 2141.

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 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 2137 and 2141.

LCM(2137,2141) = 21371×21411
LCM(2137,2141) = 4575317

Factors of 2137

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

1, 2137

Factors of 2141

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

1, 2141

Least Common Multiple of 2137 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 2137 and 2141, than apply into the LCM equation.

GCF(2137,2141) = 1
LCM(2137,2141) = ( 2137 × 2141) / 1
LCM(2137,2141) = 4575317 / 1
LCM(2137,2141) = 4575317

Properties of LCM 2137 and 2141

(i) The LCM of 2141 and 2137 is associative

LCM of 2137 and 2141 = LCM of 2141 and 2137

Related Least Common Multiples of 2137

Related Least Common Multiples of 2141

Frequently Asked Questions on LCM of 2137 and 2141

1. What is the LCM of 2137 and 2141?

Answer: LCM of 2137 and 2141 is 4575317.

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 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 2137 and 2141?

Answer:

Least Common Multiple of 2137 and 2141 = 4575317

Step 1: Find the prime factorization of 2137

2137 = 2137

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 = 4575317 = 2137 x 2141

Step 4: Therefore, the least common multiple of 2137 and 2141 is 4575317.