Least Common Multiple of 2662 and 2665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2662 and 2665 the smallest integer that is 7094230 that is divisible by both numbers.

Least Common Multiple (LCM) of 2662 and 2665 is 7094230.

LCM(2662,2665) = 7094230

LCM of 2662 and 2665

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

LCM of:
and

Least Common Multiple of 2662 and 2665

LCM of 2662 and 2665 is 7094230

Least common multiple can be found by multiplying the highest exponent prime factors of 2662 and 2665. First we will calculate the prime factors of 2662 and 2665.

Prime Factorization of 2662


2 2662
11 1331
11 121
11 11
1

Prime factors of 2662 are 2,11. Prime factorization of 2662 in exponential form is:

2662 = 21×113

Prime Factorization of 2665


5 2665
13 533
41 41
1

Prime factors of 2665 are 5, 13,41. Prime factorization of 2665 in exponential form is:

2665 = 51×131×411

Now multiplying the highest exponent prime factors to calculate the LCM of 2662 and 2665.

LCM(2662,2665) = 21×51×113×131×411
LCM(2662,2665) = 7094230

Factors of 2662

List of positive integer factors of 2662 that divides 2662 without a remainder.

1, 2, 11, 22, 121, 242, 1331, 2662

Factors of 2665

List of positive integer factors of 2665 that divides 2665 without a remainder.

1, 5, 13, 41, 65, 205, 533, 2665

Least Common Multiple of 2662 and 2665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2662 and 2665, than apply into the LCM equation.

GCF(2662,2665) = 1
LCM(2662,2665) = ( 2662 × 2665) / 1
LCM(2662,2665) = 7094230 / 1
LCM(2662,2665) = 7094230

Properties of LCM 2662 and 2665

(i) The LCM of 2665 and 2662 is associative

LCM of 2662 and 2665 = LCM of 2665 and 2662

Related Least Common Multiples of 2662

Related Least Common Multiples of 2665

Frequently Asked Questions on LCM of 2662 and 2665

1. What is the LCM of 2662 and 2665?

Answer: LCM of 2662 and 2665 is 7094230.

2. What are the Factors of 2662?

Answer: Factors of 2662 are 1, 2, 11, 22, 121, 242, 1331, 2662. There are 8 integers that are factors of 2662. The greatest factor of 2662 is 2662.

3. What are the Factors of 2665?

Answer: Factors of 2665 are 1, 5, 13, 41, 65, 205, 533, 2665. There are 8 integers that are factors of 2665. The greatest factor of 2665 is 2665.

4. How to Find the LCM of 2662 and 2665?

Answer:

Least Common Multiple of 2662 and 2665 = 7094230

Step 1: Find the prime factorization of 2662

2662 = 2 x 11 x 11 x 11

Step 2: Find the prime factorization of 2665

2665 = 5 x 13 x 41

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

LCM = 7094230 = 2 x 5 x 11 x 11 x 11 x 13 x 41

Step 4: Therefore, the least common multiple of 2662 and 2665 is 7094230.