Least Common Multiple of 2794 and 2800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2794 and 2800 the smallest integer that is 3911600 that is divisible by both numbers.

Least Common Multiple (LCM) of 2794 and 2800 is 3911600.

LCM(2794,2800) = 3911600

LCM of 2794 and 2800

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

LCM of:
and

Least Common Multiple of 2794 and 2800

LCM of 2794 and 2800 is 3911600

Least common multiple can be found by multiplying the highest exponent prime factors of 2794 and 2800. First we will calculate the prime factors of 2794 and 2800.

Prime Factorization of 2794


2 2794
11 1397
127 127
1

Prime factors of 2794 are 2, 11,127. Prime factorization of 2794 in exponential form is:

2794 = 21×111×1271

Prime Factorization of 2800


2 2800
2 1400
2 700
2 350
5 175
5 35
7 7
1

Prime factors of 2800 are 2, 5,7. Prime factorization of 2800 in exponential form is:

2800 = 24×52×71

Now multiplying the highest exponent prime factors to calculate the LCM of 2794 and 2800.

LCM(2794,2800) = 24×52×71×111×1271
LCM(2794,2800) = 3911600

Factors of 2794

List of positive integer factors of 2794 that divides 2794 without a remainder.

1, 2, 11, 22, 127, 254, 1397, 2794

Factors of 2800

List of positive integer factors of 2800 that divides 2800 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 35, 40, 50, 56, 70, 80, 100, 112, 140, 175, 200, 280, 350, 400, 560, 700, 1400, 2800

Least Common Multiple of 2794 and 2800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2794 and 2800, than apply into the LCM equation.

GCF(2794,2800) = 2
LCM(2794,2800) = ( 2794 × 2800) / 2
LCM(2794,2800) = 7823200 / 2
LCM(2794,2800) = 3911600

Properties of LCM 2794 and 2800

(i) The LCM of 2800 and 2794 is associative

LCM of 2794 and 2800 = LCM of 2800 and 2794

Related Least Common Multiples of 2794

Related Least Common Multiples of 2800

Frequently Asked Questions on LCM of 2794 and 2800

1. What is the LCM of 2794 and 2800?

Answer: LCM of 2794 and 2800 is 3911600.

2. What are the Factors of 2794?

Answer: Factors of 2794 are 1, 2, 11, 22, 127, 254, 1397, 2794. There are 8 integers that are factors of 2794. The greatest factor of 2794 is 2794.

3. What are the Factors of 2800?

Answer: Factors of 2800 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 35, 40, 50, 56, 70, 80, 100, 112, 140, 175, 200, 280, 350, 400, 560, 700, 1400, 2800. There are 30 integers that are factors of 2800. The greatest factor of 2800 is 2800.

4. How to Find the LCM of 2794 and 2800?

Answer:

Least Common Multiple of 2794 and 2800 = 3911600

Step 1: Find the prime factorization of 2794

2794 = 2 x 11 x 127

Step 2: Find the prime factorization of 2800

2800 = 2 x 2 x 2 x 2 x 5 x 5 x 7

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

LCM = 3911600 = 2 x 2 x 2 x 2 x 5 x 5 x 7 x 11 x 127

Step 4: Therefore, the least common multiple of 2794 and 2800 is 3911600.