Least Common Multiple of 2798 and 2802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2798 and 2802 the smallest integer that is 3919998 that is divisible by both numbers.

Least Common Multiple (LCM) of 2798 and 2802 is 3919998.

LCM(2798,2802) = 3919998

LCM of 2798 and 2802

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

LCM of:
and

Least Common Multiple of 2798 and 2802

LCM of 2798 and 2802 is 3919998

Least common multiple can be found by multiplying the highest exponent prime factors of 2798 and 2802. First we will calculate the prime factors of 2798 and 2802.

Prime Factorization of 2798


2 2798
1399 1399
1

Prime factors of 2798 are 2,1399. Prime factorization of 2798 in exponential form is:

2798 = 21×13991

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2798 and 2802.

LCM(2798,2802) = 21×31×4671×13991
LCM(2798,2802) = 3919998

Factors of 2798

List of positive integer factors of 2798 that divides 2798 without a remainder.

1, 2, 1399, 2798

Factors of 2802

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

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

Least Common Multiple of 2798 and 2802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2798 and 2802, than apply into the LCM equation.

GCF(2798,2802) = 2
LCM(2798,2802) = ( 2798 × 2802) / 2
LCM(2798,2802) = 7839996 / 2
LCM(2798,2802) = 3919998

Properties of LCM 2798 and 2802

(i) The LCM of 2802 and 2798 is associative

LCM of 2798 and 2802 = LCM of 2802 and 2798

Related Least Common Multiples of 2798

Related Least Common Multiples of 2802

Frequently Asked Questions on LCM of 2798 and 2802

1. What is the LCM of 2798 and 2802?

Answer: LCM of 2798 and 2802 is 3919998.

2. What are the Factors of 2798?

Answer: Factors of 2798 are 1, 2, 1399, 2798. There are 4 integers that are factors of 2798. The greatest factor of 2798 is 2798.

3. 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.

4. How to Find the LCM of 2798 and 2802?

Answer:

Least Common Multiple of 2798 and 2802 = 3919998

Step 1: Find the prime factorization of 2798

2798 = 2 x 1399

Step 2: Find the prime factorization of 2802

2802 = 2 x 3 x 467

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

LCM = 3919998 = 2 x 3 x 467 x 1399

Step 4: Therefore, the least common multiple of 2798 and 2802 is 3919998.