Least Common Multiple of 807 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 807 and 808 the smallest integer that is 652056 that is divisible by both numbers.

Least Common Multiple (LCM) of 807 and 808 is 652056.

LCM(807,808) = 652056

LCM of 807 and 808

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

LCM of:
and

Least Common Multiple of 807 and 808

LCM of 807 and 808 is 652056

Least common multiple can be found by multiplying the highest exponent prime factors of 807 and 808. First we will calculate the prime factors of 807 and 808.

Prime Factorization of 807


3 807
269 269
1

Prime factors of 807 are 3,269. Prime factorization of 807 in exponential form is:

807 = 31×2691

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 807 and 808.

LCM(807,808) = 23×31×1011×2691
LCM(807,808) = 652056

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1, 3, 269, 807

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 807 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 807 and 808, than apply into the LCM equation.

GCF(807,808) = 1
LCM(807,808) = ( 807 × 808) / 1
LCM(807,808) = 652056 / 1
LCM(807,808) = 652056

Properties of LCM 807 and 808

(i) The LCM of 808 and 807 is associative

LCM of 807 and 808 = LCM of 808 and 807

Related Least Common Multiples of 807

Related Least Common Multiples of 808

Frequently Asked Questions on LCM of 807 and 808

1. What is the LCM of 807 and 808?

Answer: LCM of 807 and 808 is 652056.

2. What are the Factors of 807?

Answer: Factors of 807 are 1, 3, 269, 807. There are 4 integers that are factors of 807. The greatest factor of 807 is 807.

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 807 and 808?

Answer:

Least Common Multiple of 807 and 808 = 652056

Step 1: Find the prime factorization of 807

807 = 3 x 269

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 = 652056 = 2 x 2 x 2 x 3 x 101 x 269

Step 4: Therefore, the least common multiple of 807 and 808 is 652056.