Least Common Multiple of 802 and 809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 802 and 809 the smallest integer that is 648818 that is divisible by both numbers.

Least Common Multiple (LCM) of 802 and 809 is 648818.

LCM(802,809) = 648818

LCM of 802 and 809

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

LCM of:
and

Least Common Multiple of 802 and 809

LCM of 802 and 809 is 648818

Least common multiple can be found by multiplying the highest exponent prime factors of 802 and 809. First we will calculate the prime factors of 802 and 809.

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

Prime Factorization of 809


809 809
1

Prime factors of 809 are 809. Prime factorization of 809 in exponential form is:

809 = 8091

Now multiplying the highest exponent prime factors to calculate the LCM of 802 and 809.

LCM(802,809) = 21×4011×8091
LCM(802,809) = 648818

Factors of 802

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

1, 2, 401, 802

Factors of 809

List of positive integer factors of 809 that divides 809 without a remainder.

1, 809

Least Common Multiple of 802 and 809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 802 and 809, than apply into the LCM equation.

GCF(802,809) = 1
LCM(802,809) = ( 802 × 809) / 1
LCM(802,809) = 648818 / 1
LCM(802,809) = 648818

Properties of LCM 802 and 809

(i) The LCM of 809 and 802 is associative

LCM of 802 and 809 = LCM of 809 and 802

Related Least Common Multiples of 802

Related Least Common Multiples of 809

Frequently Asked Questions on LCM of 802 and 809

1. What is the LCM of 802 and 809?

Answer: LCM of 802 and 809 is 648818.

2. 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.

3. What are the Factors of 809?

Answer: Factors of 809 are 1, 809. There are 2 integers that are factors of 809. The greatest factor of 809 is 809.

4. How to Find the LCM of 802 and 809?

Answer:

Least Common Multiple of 802 and 809 = 648818

Step 1: Find the prime factorization of 802

802 = 2 x 401

Step 2: Find the prime factorization of 809

809 = 809

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

LCM = 648818 = 2 x 401 x 809

Step 4: Therefore, the least common multiple of 802 and 809 is 648818.