Least Common Multiple of 798 and 802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 798 and 802 the smallest integer that is 319998 that is divisible by both numbers.

Least Common Multiple (LCM) of 798 and 802 is 319998.

LCM(798,802) = 319998

LCM of 798 and 802

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

LCM of:
and

Least Common Multiple of 798 and 802

LCM of 798 and 802 is 319998

Least common multiple can be found by multiplying the highest exponent prime factors of 798 and 802. First we will calculate the prime factors of 798 and 802.

Prime Factorization of 798


2 798
3 399
7 133
19 19
1

Prime factors of 798 are 2, 3, 7,19. Prime factorization of 798 in exponential form is:

798 = 21×31×71×191

Prime Factorization of 802


2 802
401 401
1

Prime factors of 802 are 2,401. Prime factorization of 802 in exponential form is:

802 = 21×4011

Now multiplying the highest exponent prime factors to calculate the LCM of 798 and 802.

LCM(798,802) = 21×31×71×191×4011
LCM(798,802) = 319998

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Least Common Multiple of 798 and 802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 798 and 802, than apply into the LCM equation.

GCF(798,802) = 2
LCM(798,802) = ( 798 × 802) / 2
LCM(798,802) = 639996 / 2
LCM(798,802) = 319998

Properties of LCM 798 and 802

(i) The LCM of 802 and 798 is associative

LCM of 798 and 802 = LCM of 802 and 798

Related Least Common Multiples of 798

Related Least Common Multiples of 802

Frequently Asked Questions on LCM of 798 and 802

1. What is the LCM of 798 and 802?

Answer: LCM of 798 and 802 is 319998.

2. What are the Factors of 798?

Answer: Factors of 798 are 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798. There are 16 integers that are factors of 798. The greatest factor of 798 is 798.

3. What are the Factors of 802?

Answer: Factors of 802 are 1, 2, 401, 802. There are 4 integers that are factors of 802. The greatest factor of 802 is 802.

4. How to Find the LCM of 798 and 802?

Answer:

Least Common Multiple of 798 and 802 = 319998

Step 1: Find the prime factorization of 798

798 = 2 x 3 x 7 x 19

Step 2: Find the prime factorization of 802

802 = 2 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 = 319998 = 2 x 3 x 7 x 19 x 401

Step 4: Therefore, the least common multiple of 798 and 802 is 319998.