Least Common Multiple of 7800 and 7804

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 7804 the smallest integer that is 15217800 that is divisible by both numbers.

Least Common Multiple (LCM) of 7800 and 7804 is 15217800.

LCM(7800,7804) = 15217800

LCM of 7800 and 7804

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

LCM of:
and

Least Common Multiple of 7800 and 7804

LCM of 7800 and 7804 is 15217800

Least common multiple can be found by multiplying the highest exponent prime factors of 7800 and 7804. First we will calculate the prime factors of 7800 and 7804.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 7800 and 7804.

LCM(7800,7804) = 23×31×52×131×19511
LCM(7800,7804) = 15217800

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 7804

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

1, 2, 4, 1951, 3902, 7804

Least Common Multiple of 7800 and 7804 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 7804, than apply into the LCM equation.

GCF(7800,7804) = 4
LCM(7800,7804) = ( 7800 × 7804) / 4
LCM(7800,7804) = 60871200 / 4
LCM(7800,7804) = 15217800

Properties of LCM 7800 and 7804

(i) The LCM of 7804 and 7800 is associative

LCM of 7800 and 7804 = LCM of 7804 and 7800

Related Least Common Multiples of 7800

Related Least Common Multiples of 7804

Frequently Asked Questions on LCM of 7800 and 7804

1. What is the LCM of 7800 and 7804?

Answer: LCM of 7800 and 7804 is 15217800.

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 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.

4. How to Find the LCM of 7800 and 7804?

Answer:

Least Common Multiple of 7800 and 7804 = 15217800

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 7804

7804 = 2 x 2 x 1951

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

LCM = 15217800 = 2 x 2 x 2 x 3 x 5 x 5 x 13 x 1951

Step 4: Therefore, the least common multiple of 7800 and 7804 is 15217800.