Least Common Multiple of 2668 and 2675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2668 and 2675 the smallest integer that is 7136900 that is divisible by both numbers.

Least Common Multiple (LCM) of 2668 and 2675 is 7136900.

LCM(2668,2675) = 7136900

LCM of 2668 and 2675

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

LCM of:
and

Least Common Multiple of 2668 and 2675

LCM of 2668 and 2675 is 7136900

Least common multiple can be found by multiplying the highest exponent prime factors of 2668 and 2675. First we will calculate the prime factors of 2668 and 2675.

Prime Factorization of 2668


2 2668
2 1334
23 667
29 29
1

Prime factors of 2668 are 2, 23,29. Prime factorization of 2668 in exponential form is:

2668 = 22×231×291

Prime Factorization of 2675


5 2675
5 535
107 107
1

Prime factors of 2675 are 5,107. Prime factorization of 2675 in exponential form is:

2675 = 52×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 2668 and 2675.

LCM(2668,2675) = 22×52×231×291×1071
LCM(2668,2675) = 7136900

Factors of 2668

List of positive integer factors of 2668 that divides 2668 without a remainder.

1, 2, 4, 23, 29, 46, 58, 92, 116, 667, 1334, 2668

Factors of 2675

List of positive integer factors of 2675 that divides 2675 without a remainder.

1, 5, 25, 107, 535, 2675

Least Common Multiple of 2668 and 2675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2668 and 2675, than apply into the LCM equation.

GCF(2668,2675) = 1
LCM(2668,2675) = ( 2668 × 2675) / 1
LCM(2668,2675) = 7136900 / 1
LCM(2668,2675) = 7136900

Properties of LCM 2668 and 2675

(i) The LCM of 2675 and 2668 is associative

LCM of 2668 and 2675 = LCM of 2675 and 2668

Related Least Common Multiples of 2668

Related Least Common Multiples of 2675

Frequently Asked Questions on LCM of 2668 and 2675

1. What is the LCM of 2668 and 2675?

Answer: LCM of 2668 and 2675 is 7136900.

2. What are the Factors of 2668?

Answer: Factors of 2668 are 1, 2, 4, 23, 29, 46, 58, 92, 116, 667, 1334, 2668. There are 12 integers that are factors of 2668. The greatest factor of 2668 is 2668.

3. What are the Factors of 2675?

Answer: Factors of 2675 are 1, 5, 25, 107, 535, 2675. There are 6 integers that are factors of 2675. The greatest factor of 2675 is 2675.

4. How to Find the LCM of 2668 and 2675?

Answer:

Least Common Multiple of 2668 and 2675 = 7136900

Step 1: Find the prime factorization of 2668

2668 = 2 x 2 x 23 x 29

Step 2: Find the prime factorization of 2675

2675 = 5 x 5 x 107

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

LCM = 7136900 = 2 x 2 x 5 x 5 x 23 x 29 x 107

Step 4: Therefore, the least common multiple of 2668 and 2675 is 7136900.