Least Common Multiple of 2700 and 2704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2700 and 2704 the smallest integer that is 1825200 that is divisible by both numbers.

Least Common Multiple (LCM) of 2700 and 2704 is 1825200.

LCM(2700,2704) = 1825200

LCM of 2700 and 2704

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

LCM of:
and

Least Common Multiple of 2700 and 2704

LCM of 2700 and 2704 is 1825200

Least common multiple can be found by multiplying the highest exponent prime factors of 2700 and 2704. First we will calculate the prime factors of 2700 and 2704.

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

Prime Factorization of 2704


2 2704
2 1352
2 676
2 338
13 169
13 13
1

Prime factors of 2704 are 2,13. Prime factorization of 2704 in exponential form is:

2704 = 24×132

Now multiplying the highest exponent prime factors to calculate the LCM of 2700 and 2704.

LCM(2700,2704) = 24×33×52×132
LCM(2700,2704) = 1825200

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

Factors of 2704

List of positive integer factors of 2704 that divides 2704 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 169, 208, 338, 676, 1352, 2704

Least Common Multiple of 2700 and 2704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2700 and 2704, than apply into the LCM equation.

GCF(2700,2704) = 4
LCM(2700,2704) = ( 2700 × 2704) / 4
LCM(2700,2704) = 7300800 / 4
LCM(2700,2704) = 1825200

Properties of LCM 2700 and 2704

(i) The LCM of 2704 and 2700 is associative

LCM of 2700 and 2704 = LCM of 2704 and 2700

Related Least Common Multiples of 2700

Related Least Common Multiples of 2704

Frequently Asked Questions on LCM of 2700 and 2704

1. What is the LCM of 2700 and 2704?

Answer: LCM of 2700 and 2704 is 1825200.

2. 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.

3. What are the Factors of 2704?

Answer: Factors of 2704 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 169, 208, 338, 676, 1352, 2704. There are 15 integers that are factors of 2704. The greatest factor of 2704 is 2704.

4. How to Find the LCM of 2700 and 2704?

Answer:

Least Common Multiple of 2700 and 2704 = 1825200

Step 1: Find the prime factorization of 2700

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

Step 2: Find the prime factorization of 2704

2704 = 2 x 2 x 2 x 2 x 13 x 13

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

LCM = 1825200 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 13 x 13

Step 4: Therefore, the least common multiple of 2700 and 2704 is 1825200.