Least Common Multiple of 2638 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 2638 and 2641 the smallest integer that is 6966958 that is divisible by both numbers.

Least Common Multiple (LCM) of 2638 and 2641 is 6966958.

LCM(2638,2641) = 6966958

LCM of 2638 and 2641

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

LCM of:
and

Least Common Multiple of 2638 and 2641

LCM of 2638 and 2641 is 6966958

Least common multiple can be found by multiplying the highest exponent prime factors of 2638 and 2641. First we will calculate the prime factors of 2638 and 2641.

Prime Factorization of 2638


2 2638
1319 1319
1

Prime factors of 2638 are 2,1319. Prime factorization of 2638 in exponential form is:

2638 = 21×13191

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 2638 and 2641.

LCM(2638,2641) = 21×191×1391×13191
LCM(2638,2641) = 6966958

Factors of 2638

List of positive integer factors of 2638 that divides 2638 without a remainder.

1, 2, 1319, 2638

Factors of 2641

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

1, 19, 139, 2641

Least Common Multiple of 2638 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 2638 and 2641, than apply into the LCM equation.

GCF(2638,2641) = 1
LCM(2638,2641) = ( 2638 × 2641) / 1
LCM(2638,2641) = 6966958 / 1
LCM(2638,2641) = 6966958

Properties of LCM 2638 and 2641

(i) The LCM of 2641 and 2638 is associative

LCM of 2638 and 2641 = LCM of 2641 and 2638

Related Least Common Multiples of 2638

Related Least Common Multiples of 2641

Frequently Asked Questions on LCM of 2638 and 2641

1. What is the LCM of 2638 and 2641?

Answer: LCM of 2638 and 2641 is 6966958.

2. What are the Factors of 2638?

Answer: Factors of 2638 are 1, 2, 1319, 2638. There are 4 integers that are factors of 2638. The greatest factor of 2638 is 2638.

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 2638 and 2641?

Answer:

Least Common Multiple of 2638 and 2641 = 6966958

Step 1: Find the prime factorization of 2638

2638 = 2 x 1319

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 = 6966958 = 2 x 19 x 139 x 1319

Step 4: Therefore, the least common multiple of 2638 and 2641 is 6966958.