Least Common Multiple of 2775 and 2783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2775 and 2783 the smallest integer that is 7722825 that is divisible by both numbers.

Least Common Multiple (LCM) of 2775 and 2783 is 7722825.

LCM(2775,2783) = 7722825

LCM of 2775 and 2783

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

LCM of:
and

Least Common Multiple of 2775 and 2783

LCM of 2775 and 2783 is 7722825

Least common multiple can be found by multiplying the highest exponent prime factors of 2775 and 2783. First we will calculate the prime factors of 2775 and 2783.

Prime Factorization of 2775


3 2775
5 925
5 185
37 37
1

Prime factors of 2775 are 3, 5,37. Prime factorization of 2775 in exponential form is:

2775 = 31×52×371

Prime Factorization of 2783


11 2783
11 253
23 23
1

Prime factors of 2783 are 11,23. Prime factorization of 2783 in exponential form is:

2783 = 112×231

Now multiplying the highest exponent prime factors to calculate the LCM of 2775 and 2783.

LCM(2775,2783) = 31×52×112×231×371
LCM(2775,2783) = 7722825

Factors of 2775

List of positive integer factors of 2775 that divides 2775 without a remainder.

1, 3, 5, 15, 25, 37, 75, 111, 185, 555, 925, 2775

Factors of 2783

List of positive integer factors of 2783 that divides 2783 without a remainder.

1, 11, 23, 121, 253, 2783

Least Common Multiple of 2775 and 2783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2775 and 2783, than apply into the LCM equation.

GCF(2775,2783) = 1
LCM(2775,2783) = ( 2775 × 2783) / 1
LCM(2775,2783) = 7722825 / 1
LCM(2775,2783) = 7722825

Properties of LCM 2775 and 2783

(i) The LCM of 2783 and 2775 is associative

LCM of 2775 and 2783 = LCM of 2783 and 2775

Related Least Common Multiples of 2775

Related Least Common Multiples of 2783

Frequently Asked Questions on LCM of 2775 and 2783

1. What is the LCM of 2775 and 2783?

Answer: LCM of 2775 and 2783 is 7722825.

2. What are the Factors of 2775?

Answer: Factors of 2775 are 1, 3, 5, 15, 25, 37, 75, 111, 185, 555, 925, 2775. There are 12 integers that are factors of 2775. The greatest factor of 2775 is 2775.

3. What are the Factors of 2783?

Answer: Factors of 2783 are 1, 11, 23, 121, 253, 2783. There are 6 integers that are factors of 2783. The greatest factor of 2783 is 2783.

4. How to Find the LCM of 2775 and 2783?

Answer:

Least Common Multiple of 2775 and 2783 = 7722825

Step 1: Find the prime factorization of 2775

2775 = 3 x 5 x 5 x 37

Step 2: Find the prime factorization of 2783

2783 = 11 x 11 x 23

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

LCM = 7722825 = 3 x 5 x 5 x 11 x 11 x 23 x 37

Step 4: Therefore, the least common multiple of 2775 and 2783 is 7722825.