Least Common Multiple of 2802 and 2807

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2802 and 2807 the smallest integer that is 7865214 that is divisible by both numbers.

Least Common Multiple (LCM) of 2802 and 2807 is 7865214.

LCM(2802,2807) = 7865214

LCM of 2802 and 2807

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

LCM of:
and

Least Common Multiple of 2802 and 2807

LCM of 2802 and 2807 is 7865214

Least common multiple can be found by multiplying the highest exponent prime factors of 2802 and 2807. First we will calculate the prime factors of 2802 and 2807.

Prime Factorization of 2802


2 2802
3 1401
467 467
1

Prime factors of 2802 are 2, 3,467. Prime factorization of 2802 in exponential form is:

2802 = 21×31×4671

Prime Factorization of 2807


7 2807
401 401
1

Prime factors of 2807 are 7,401. Prime factorization of 2807 in exponential form is:

2807 = 71×4011

Now multiplying the highest exponent prime factors to calculate the LCM of 2802 and 2807.

LCM(2802,2807) = 21×31×71×4011×4671
LCM(2802,2807) = 7865214

Factors of 2802

List of positive integer factors of 2802 that divides 2802 without a remainder.

1, 2, 3, 6, 467, 934, 1401, 2802

Factors of 2807

List of positive integer factors of 2807 that divides 2807 without a remainder.

1, 7, 401, 2807

Least Common Multiple of 2802 and 2807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2802 and 2807, than apply into the LCM equation.

GCF(2802,2807) = 1
LCM(2802,2807) = ( 2802 × 2807) / 1
LCM(2802,2807) = 7865214 / 1
LCM(2802,2807) = 7865214

Properties of LCM 2802 and 2807

(i) The LCM of 2807 and 2802 is associative

LCM of 2802 and 2807 = LCM of 2807 and 2802

Related Least Common Multiples of 2802

Related Least Common Multiples of 2807

Frequently Asked Questions on LCM of 2802 and 2807

1. What is the LCM of 2802 and 2807?

Answer: LCM of 2802 and 2807 is 7865214.

2. What are the Factors of 2802?

Answer: Factors of 2802 are 1, 2, 3, 6, 467, 934, 1401, 2802. There are 8 integers that are factors of 2802. The greatest factor of 2802 is 2802.

3. What are the Factors of 2807?

Answer: Factors of 2807 are 1, 7, 401, 2807. There are 4 integers that are factors of 2807. The greatest factor of 2807 is 2807.

4. How to Find the LCM of 2802 and 2807?

Answer:

Least Common Multiple of 2802 and 2807 = 7865214

Step 1: Find the prime factorization of 2802

2802 = 2 x 3 x 467

Step 2: Find the prime factorization of 2807

2807 = 7 x 401

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

LCM = 7865214 = 2 x 3 x 7 x 401 x 467

Step 4: Therefore, the least common multiple of 2802 and 2807 is 7865214.