Least Common Multiple of 796 and 804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 796 and 804 the smallest integer that is 159996 that is divisible by both numbers.

Least Common Multiple (LCM) of 796 and 804 is 159996.

LCM(796,804) = 159996

LCM of 796 and 804

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

LCM of:
and

Least Common Multiple of 796 and 804

LCM of 796 and 804 is 159996

Least common multiple can be found by multiplying the highest exponent prime factors of 796 and 804. First we will calculate the prime factors of 796 and 804.

Prime Factorization of 796


2 796
2 398
199 199
1

Prime factors of 796 are 2,199. Prime factorization of 796 in exponential form is:

796 = 22×1991

Prime Factorization of 804


2 804
2 402
3 201
67 67
1

Prime factors of 804 are 2, 3,67. Prime factorization of 804 in exponential form is:

804 = 22×31×671

Now multiplying the highest exponent prime factors to calculate the LCM of 796 and 804.

LCM(796,804) = 22×31×671×1991
LCM(796,804) = 159996

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Least Common Multiple of 796 and 804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 796 and 804, than apply into the LCM equation.

GCF(796,804) = 4
LCM(796,804) = ( 796 × 804) / 4
LCM(796,804) = 639984 / 4
LCM(796,804) = 159996

Properties of LCM 796 and 804

(i) The LCM of 804 and 796 is associative

LCM of 796 and 804 = LCM of 804 and 796

Related Least Common Multiples of 796

Related Least Common Multiples of 804

Frequently Asked Questions on LCM of 796 and 804

1. What is the LCM of 796 and 804?

Answer: LCM of 796 and 804 is 159996.

2. What are the Factors of 796?

Answer: Factors of 796 are 1, 2, 4, 199, 398, 796. There are 6 integers that are factors of 796. The greatest factor of 796 is 796.

3. What are the Factors of 804?

Answer: Factors of 804 are 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804. There are 12 integers that are factors of 804. The greatest factor of 804 is 804.

4. How to Find the LCM of 796 and 804?

Answer:

Least Common Multiple of 796 and 804 = 159996

Step 1: Find the prime factorization of 796

796 = 2 x 2 x 199

Step 2: Find the prime factorization of 804

804 = 2 x 2 x 3 x 67

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

LCM = 159996 = 2 x 2 x 3 x 67 x 199

Step 4: Therefore, the least common multiple of 796 and 804 is 159996.