Least Common Multiple of 802 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 802 and 807 the smallest integer that is 647214 that is divisible by both numbers.

Least Common Multiple (LCM) of 802 and 807 is 647214.

LCM(802,807) = 647214

LCM of 802 and 807

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

LCM of:
and

Least Common Multiple of 802 and 807

LCM of 802 and 807 is 647214

Least common multiple can be found by multiplying the highest exponent prime factors of 802 and 807. First we will calculate the prime factors of 802 and 807.

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 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 802 and 807.

LCM(802,807) = 21×31×2691×4011
LCM(802,807) = 647214

Factors of 802

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

1, 2, 401, 802

Factors of 807

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

1, 3, 269, 807

Least Common Multiple of 802 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 802 and 807, than apply into the LCM equation.

GCF(802,807) = 1
LCM(802,807) = ( 802 × 807) / 1
LCM(802,807) = 647214 / 1
LCM(802,807) = 647214

Properties of LCM 802 and 807

(i) The LCM of 807 and 802 is associative

LCM of 802 and 807 = LCM of 807 and 802

Related Least Common Multiples of 802

Related Least Common Multiples of 807

Frequently Asked Questions on LCM of 802 and 807

1. What is the LCM of 802 and 807?

Answer: LCM of 802 and 807 is 647214.

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 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 802 and 807?

Answer:

Least Common Multiple of 802 and 807 = 647214

Step 1: Find the prime factorization of 802

802 = 2 x 401

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 = 647214 = 2 x 3 x 269 x 401

Step 4: Therefore, the least common multiple of 802 and 807 is 647214.