Least Common Multiple of 2638 and 2642

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 2642 the smallest integer that is 3484798 that is divisible by both numbers.

Least Common Multiple (LCM) of 2638 and 2642 is 3484798.

LCM(2638,2642) = 3484798

LCM of 2638 and 2642

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

LCM of:
and

Least Common Multiple of 2638 and 2642

LCM of 2638 and 2642 is 3484798

Least common multiple can be found by multiplying the highest exponent prime factors of 2638 and 2642. First we will calculate the prime factors of 2638 and 2642.

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 2642


2 2642
1321 1321
1

Prime factors of 2642 are 2,1321. Prime factorization of 2642 in exponential form is:

2642 = 21×13211

Now multiplying the highest exponent prime factors to calculate the LCM of 2638 and 2642.

LCM(2638,2642) = 21×13191×13211
LCM(2638,2642) = 3484798

Factors of 2638

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

1, 2, 1319, 2638

Factors of 2642

List of positive integer factors of 2642 that divides 2642 without a remainder.

1, 2, 1321, 2642

Least Common Multiple of 2638 and 2642 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 2642, than apply into the LCM equation.

GCF(2638,2642) = 2
LCM(2638,2642) = ( 2638 × 2642) / 2
LCM(2638,2642) = 6969596 / 2
LCM(2638,2642) = 3484798

Properties of LCM 2638 and 2642

(i) The LCM of 2642 and 2638 is associative

LCM of 2638 and 2642 = LCM of 2642 and 2638

Related Least Common Multiples of 2638

Related Least Common Multiples of 2642

Frequently Asked Questions on LCM of 2638 and 2642

1. What is the LCM of 2638 and 2642?

Answer: LCM of 2638 and 2642 is 3484798.

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 2642?

Answer: Factors of 2642 are 1, 2, 1321, 2642. There are 4 integers that are factors of 2642. The greatest factor of 2642 is 2642.

4. How to Find the LCM of 2638 and 2642?

Answer:

Least Common Multiple of 2638 and 2642 = 3484798

Step 1: Find the prime factorization of 2638

2638 = 2 x 1319

Step 2: Find the prime factorization of 2642

2642 = 2 x 1321

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

LCM = 3484798 = 2 x 1319 x 1321

Step 4: Therefore, the least common multiple of 2638 and 2642 is 3484798.