Least Common Multiple of 2637 and 2641

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2637 and 2641 the smallest integer that is 6964317 that is divisible by both numbers.

Least Common Multiple (LCM) of 2637 and 2641 is 6964317.

LCM(2637,2641) = 6964317

LCM of 2637 and 2641

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

LCM of:
and

Least Common Multiple of 2637 and 2641

LCM of 2637 and 2641 is 6964317

Least common multiple can be found by multiplying the highest exponent prime factors of 2637 and 2641. First we will calculate the prime factors of 2637 and 2641.

Prime Factorization of 2637


3 2637
3 879
293 293
1

Prime factors of 2637 are 3,293. Prime factorization of 2637 in exponential form is:

2637 = 32×2931

Prime Factorization of 2641


19 2641
139 139
1

Prime factors of 2641 are 19,139. Prime factorization of 2641 in exponential form is:

2641 = 191×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 2637 and 2641.

LCM(2637,2641) = 32×191×1391×2931
LCM(2637,2641) = 6964317

Factors of 2637

List of positive integer factors of 2637 that divides 2637 without a remainder.

1, 3, 9, 293, 879, 2637

Factors of 2641

List of positive integer factors of 2641 that divides 2641 without a remainder.

1, 19, 139, 2641

Least Common Multiple of 2637 and 2641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2637 and 2641, than apply into the LCM equation.

GCF(2637,2641) = 1
LCM(2637,2641) = ( 2637 × 2641) / 1
LCM(2637,2641) = 6964317 / 1
LCM(2637,2641) = 6964317

Properties of LCM 2637 and 2641

(i) The LCM of 2641 and 2637 is associative

LCM of 2637 and 2641 = LCM of 2641 and 2637

Related Least Common Multiples of 2637

Related Least Common Multiples of 2641

Frequently Asked Questions on LCM of 2637 and 2641

1. What is the LCM of 2637 and 2641?

Answer: LCM of 2637 and 2641 is 6964317.

2. What are the Factors of 2637?

Answer: Factors of 2637 are 1, 3, 9, 293, 879, 2637. There are 6 integers that are factors of 2637. The greatest factor of 2637 is 2637.

3. What are the Factors of 2641?

Answer: Factors of 2641 are 1, 19, 139, 2641. There are 4 integers that are factors of 2641. The greatest factor of 2641 is 2641.

4. How to Find the LCM of 2637 and 2641?

Answer:

Least Common Multiple of 2637 and 2641 = 6964317

Step 1: Find the prime factorization of 2637

2637 = 3 x 3 x 293

Step 2: Find the prime factorization of 2641

2641 = 19 x 139

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

LCM = 6964317 = 3 x 3 x 19 x 139 x 293

Step 4: Therefore, the least common multiple of 2637 and 2641 is 6964317.