Least Common Multiple of 2696 and 2700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2696 and 2700 the smallest integer that is 1819800 that is divisible by both numbers.

Least Common Multiple (LCM) of 2696 and 2700 is 1819800.

LCM(2696,2700) = 1819800

LCM of 2696 and 2700

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

LCM of:
and

Least Common Multiple of 2696 and 2700

LCM of 2696 and 2700 is 1819800

Least common multiple can be found by multiplying the highest exponent prime factors of 2696 and 2700. First we will calculate the prime factors of 2696 and 2700.

Prime Factorization of 2696


2 2696
2 1348
2 674
337 337
1

Prime factors of 2696 are 2,337. Prime factorization of 2696 in exponential form is:

2696 = 23×3371

Prime Factorization of 2700


2 2700
2 1350
3 675
3 225
3 75
5 25
5 5
1

Prime factors of 2700 are 2, 3,5. Prime factorization of 2700 in exponential form is:

2700 = 22×33×52

Now multiplying the highest exponent prime factors to calculate the LCM of 2696 and 2700.

LCM(2696,2700) = 23×33×52×3371
LCM(2696,2700) = 1819800

Factors of 2696

List of positive integer factors of 2696 that divides 2696 without a remainder.

1, 2, 4, 8, 337, 674, 1348, 2696

Factors of 2700

List of positive integer factors of 2700 that divides 2700 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 135, 150, 180, 225, 270, 300, 450, 540, 675, 900, 1350, 2700

Least Common Multiple of 2696 and 2700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2696 and 2700, than apply into the LCM equation.

GCF(2696,2700) = 4
LCM(2696,2700) = ( 2696 × 2700) / 4
LCM(2696,2700) = 7279200 / 4
LCM(2696,2700) = 1819800

Properties of LCM 2696 and 2700

(i) The LCM of 2700 and 2696 is associative

LCM of 2696 and 2700 = LCM of 2700 and 2696

Related Least Common Multiples of 2696

Related Least Common Multiples of 2700

Frequently Asked Questions on LCM of 2696 and 2700

1. What is the LCM of 2696 and 2700?

Answer: LCM of 2696 and 2700 is 1819800.

2. What are the Factors of 2696?

Answer: Factors of 2696 are 1, 2, 4, 8, 337, 674, 1348, 2696. There are 8 integers that are factors of 2696. The greatest factor of 2696 is 2696.

3. What are the Factors of 2700?

Answer: Factors of 2700 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 135, 150, 180, 225, 270, 300, 450, 540, 675, 900, 1350, 2700. There are 36 integers that are factors of 2700. The greatest factor of 2700 is 2700.

4. How to Find the LCM of 2696 and 2700?

Answer:

Least Common Multiple of 2696 and 2700 = 1819800

Step 1: Find the prime factorization of 2696

2696 = 2 x 2 x 2 x 337

Step 2: Find the prime factorization of 2700

2700 = 2 x 2 x 3 x 3 x 3 x 5 x 5

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

LCM = 1819800 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 337

Step 4: Therefore, the least common multiple of 2696 and 2700 is 1819800.