Least Common Multiple of 807 and 811

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 811 the smallest integer that is 654477 that is divisible by both numbers.

Least Common Multiple (LCM) of 807 and 811 is 654477.

LCM(807,811) = 654477

LCM of 807 and 811

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

LCM of:
and

Least Common Multiple of 807 and 811

LCM of 807 and 811 is 654477

Least common multiple can be found by multiplying the highest exponent prime factors of 807 and 811. First we will calculate the prime factors of 807 and 811.

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 811


811 811
1

Prime factors of 811 are 811. Prime factorization of 811 in exponential form is:

811 = 8111

Now multiplying the highest exponent prime factors to calculate the LCM of 807 and 811.

LCM(807,811) = 31×2691×8111
LCM(807,811) = 654477

Factors of 807

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

1, 3, 269, 807

Factors of 811

List of positive integer factors of 811 that divides 811 without a remainder.

1, 811

Least Common Multiple of 807 and 811 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 811, than apply into the LCM equation.

GCF(807,811) = 1
LCM(807,811) = ( 807 × 811) / 1
LCM(807,811) = 654477 / 1
LCM(807,811) = 654477

Properties of LCM 807 and 811

(i) The LCM of 811 and 807 is associative

LCM of 807 and 811 = LCM of 811 and 807

Related Least Common Multiples of 807

Related Least Common Multiples of 811

Frequently Asked Questions on LCM of 807 and 811

1. What is the LCM of 807 and 811?

Answer: LCM of 807 and 811 is 654477.

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 811?

Answer: Factors of 811 are 1, 811. There are 2 integers that are factors of 811. The greatest factor of 811 is 811.

4. How to Find the LCM of 807 and 811?

Answer:

Least Common Multiple of 807 and 811 = 654477

Step 1: Find the prime factorization of 807

807 = 3 x 269

Step 2: Find the prime factorization of 811

811 = 811

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

LCM = 654477 = 3 x 269 x 811

Step 4: Therefore, the least common multiple of 807 and 811 is 654477.