Least Common Multiple of 7800 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 7800 and 7808 the smallest integer that is 7612800 that is divisible by both numbers.

Least Common Multiple (LCM) of 7800 and 7808 is 7612800.

LCM(7800,7808) = 7612800

LCM of 7800 and 7808

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

LCM of:
and

Least Common Multiple of 7800 and 7808

LCM of 7800 and 7808 is 7612800

Least common multiple can be found by multiplying the highest exponent prime factors of 7800 and 7808. First we will calculate the prime factors of 7800 and 7808.

Prime Factorization of 7800


2 7800
2 3900
2 1950
3 975
5 325
5 65
13 13
1

Prime factors of 7800 are 2, 3, 5,13. Prime factorization of 7800 in exponential form is:

7800 = 23×31×52×131

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 7800 and 7808.

LCM(7800,7808) = 27×31×52×131×611
LCM(7800,7808) = 7612800

Factors of 7800

List of positive integer factors of 7800 that divides 7800 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 25, 26, 30, 39, 40, 50, 52, 60, 65, 75, 78, 100, 104, 120, 130, 150, 156, 195, 200, 260, 300, 312, 325, 390, 520, 600, 650, 780, 975, 1300, 1560, 1950, 2600, 3900, 7800

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 7800 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 7800 and 7808, than apply into the LCM equation.

GCF(7800,7808) = 8
LCM(7800,7808) = ( 7800 × 7808) / 8
LCM(7800,7808) = 60902400 / 8
LCM(7800,7808) = 7612800

Properties of LCM 7800 and 7808

(i) The LCM of 7808 and 7800 is associative

LCM of 7800 and 7808 = LCM of 7808 and 7800

Related Least Common Multiples of 7800

Related Least Common Multiples of 7808

Frequently Asked Questions on LCM of 7800 and 7808

1. What is the LCM of 7800 and 7808?

Answer: LCM of 7800 and 7808 is 7612800.

2. What are the Factors of 7800?

Answer: Factors of 7800 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 25, 26, 30, 39, 40, 50, 52, 60, 65, 75, 78, 100, 104, 120, 130, 150, 156, 195, 200, 260, 300, 312, 325, 390, 520, 600, 650, 780, 975, 1300, 1560, 1950, 2600, 3900, 7800. There are 48 integers that are factors of 7800. The greatest factor of 7800 is 7800.

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 7800 and 7808?

Answer:

Least Common Multiple of 7800 and 7808 = 7612800

Step 1: Find the prime factorization of 7800

7800 = 2 x 2 x 2 x 3 x 5 x 5 x 13

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 = 7612800 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 13 x 61

Step 4: Therefore, the least common multiple of 7800 and 7808 is 7612800.