Least Common Multiple of 7804 and 7808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7804 and 7808 the smallest integer that is 15233408 that is divisible by both numbers.

Least Common Multiple (LCM) of 7804 and 7808 is 15233408.

LCM(7804,7808) = 15233408

LCM of 7804 and 7808

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

LCM of:
and

Least Common Multiple of 7804 and 7808

LCM of 7804 and 7808 is 15233408

Least common multiple can be found by multiplying the highest exponent prime factors of 7804 and 7808. First we will calculate the prime factors of 7804 and 7808.

Prime Factorization of 7804


2 7804
2 3902
1951 1951
1

Prime factors of 7804 are 2,1951. Prime factorization of 7804 in exponential form is:

7804 = 22×19511

Prime Factorization of 7808


2 7808
2 3904
2 1952
2 976
2 488
2 244
2 122
61 61
1

Prime factors of 7808 are 2,61. Prime factorization of 7808 in exponential form is:

7808 = 27×611

Now multiplying the highest exponent prime factors to calculate the LCM of 7804 and 7808.

LCM(7804,7808) = 27×611×19511
LCM(7804,7808) = 15233408

Factors of 7804

List of positive integer factors of 7804 that divides 7804 without a remainder.

1, 2, 4, 1951, 3902, 7804

Factors of 7808

List of positive integer factors of 7808 that divides 7808 without a remainder.

1, 2, 4, 8, 16, 32, 61, 64, 122, 128, 244, 488, 976, 1952, 3904, 7808

Least Common Multiple of 7804 and 7808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7804 and 7808, than apply into the LCM equation.

GCF(7804,7808) = 4
LCM(7804,7808) = ( 7804 × 7808) / 4
LCM(7804,7808) = 60933632 / 4
LCM(7804,7808) = 15233408

Properties of LCM 7804 and 7808

(i) The LCM of 7808 and 7804 is associative

LCM of 7804 and 7808 = LCM of 7808 and 7804

Related Least Common Multiples of 7804

Related Least Common Multiples of 7808

Frequently Asked Questions on LCM of 7804 and 7808

1. What is the LCM of 7804 and 7808?

Answer: LCM of 7804 and 7808 is 15233408.

2. What are the Factors of 7804?

Answer: Factors of 7804 are 1, 2, 4, 1951, 3902, 7804. There are 6 integers that are factors of 7804. The greatest factor of 7804 is 7804.

3. What are the Factors of 7808?

Answer: Factors of 7808 are 1, 2, 4, 8, 16, 32, 61, 64, 122, 128, 244, 488, 976, 1952, 3904, 7808. There are 16 integers that are factors of 7808. The greatest factor of 7808 is 7808.

4. How to Find the LCM of 7804 and 7808?

Answer:

Least Common Multiple of 7804 and 7808 = 15233408

Step 1: Find the prime factorization of 7804

7804 = 2 x 2 x 1951

Step 2: Find the prime factorization of 7808

7808 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 61

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

LCM = 15233408 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 61 x 1951

Step 4: Therefore, the least common multiple of 7804 and 7808 is 15233408.