Least Common Multiple of 801 and 808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 801 and 808 the smallest integer that is 647208 that is divisible by both numbers.

Least Common Multiple (LCM) of 801 and 808 is 647208.

LCM(801,808) = 647208

LCM of 801 and 808

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

LCM of:
and

Least Common Multiple of 801 and 808

LCM of 801 and 808 is 647208

Least common multiple can be found by multiplying the highest exponent prime factors of 801 and 808. First we will calculate the prime factors of 801 and 808.

Prime Factorization of 801


3 801
3 267
89 89
1

Prime factors of 801 are 3,89. Prime factorization of 801 in exponential form is:

801 = 32×891

Prime Factorization of 808


2 808
2 404
2 202
101 101
1

Prime factors of 808 are 2,101. Prime factorization of 808 in exponential form is:

808 = 23×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 801 and 808.

LCM(801,808) = 23×32×891×1011
LCM(801,808) = 647208

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1, 3, 9, 89, 267, 801

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Least Common Multiple of 801 and 808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 801 and 808, than apply into the LCM equation.

GCF(801,808) = 1
LCM(801,808) = ( 801 × 808) / 1
LCM(801,808) = 647208 / 1
LCM(801,808) = 647208

Properties of LCM 801 and 808

(i) The LCM of 808 and 801 is associative

LCM of 801 and 808 = LCM of 808 and 801

Related Least Common Multiples of 801

Related Least Common Multiples of 808

Frequently Asked Questions on LCM of 801 and 808

1. What is the LCM of 801 and 808?

Answer: LCM of 801 and 808 is 647208.

2. What are the Factors of 801?

Answer: Factors of 801 are 1, 3, 9, 89, 267, 801. There are 6 integers that are factors of 801. The greatest factor of 801 is 801.

3. What are the Factors of 808?

Answer: Factors of 808 are 1, 2, 4, 8, 101, 202, 404, 808. There are 8 integers that are factors of 808. The greatest factor of 808 is 808.

4. How to Find the LCM of 801 and 808?

Answer:

Least Common Multiple of 801 and 808 = 647208

Step 1: Find the prime factorization of 801

801 = 3 x 3 x 89

Step 2: Find the prime factorization of 808

808 = 2 x 2 x 2 x 101

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

LCM = 647208 = 2 x 2 x 2 x 3 x 3 x 89 x 101

Step 4: Therefore, the least common multiple of 801 and 808 is 647208.