Least Common Multiple of 801 and 807

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 807 the smallest integer that is 215469 that is divisible by both numbers.

Least Common Multiple (LCM) of 801 and 807 is 215469.

LCM(801,807) = 215469

LCM of 801 and 807

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

LCM of:
and

Least Common Multiple of 801 and 807

LCM of 801 and 807 is 215469

Least common multiple can be found by multiplying the highest exponent prime factors of 801 and 807. First we will calculate the prime factors of 801 and 807.

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 807


3 807
269 269
1

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

807 = 31×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 801 and 807.

LCM(801,807) = 32×891×2691
LCM(801,807) = 215469

Factors of 801

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

1, 3, 9, 89, 267, 801

Factors of 807

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

1, 3, 269, 807

Least Common Multiple of 801 and 807 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 807, than apply into the LCM equation.

GCF(801,807) = 3
LCM(801,807) = ( 801 × 807) / 3
LCM(801,807) = 646407 / 3
LCM(801,807) = 215469

Properties of LCM 801 and 807

(i) The LCM of 807 and 801 is associative

LCM of 801 and 807 = LCM of 807 and 801

Related Least Common Multiples of 801

Related Least Common Multiples of 807

Frequently Asked Questions on LCM of 801 and 807

1. What is the LCM of 801 and 807?

Answer: LCM of 801 and 807 is 215469.

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 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.

4. How to Find the LCM of 801 and 807?

Answer:

Least Common Multiple of 801 and 807 = 215469

Step 1: Find the prime factorization of 801

801 = 3 x 3 x 89

Step 2: Find the prime factorization of 807

807 = 3 x 269

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

LCM = 215469 = 3 x 3 x 89 x 269

Step 4: Therefore, the least common multiple of 801 and 807 is 215469.