Least Common Multiple of 7800 and 7806

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 7806 the smallest integer that is 10147800 that is divisible by both numbers.

Least Common Multiple (LCM) of 7800 and 7806 is 10147800.

LCM(7800,7806) = 10147800

LCM of 7800 and 7806

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

LCM of:
and

Least Common Multiple of 7800 and 7806

LCM of 7800 and 7806 is 10147800

Least common multiple can be found by multiplying the highest exponent prime factors of 7800 and 7806. First we will calculate the prime factors of 7800 and 7806.

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 7806


2 7806
3 3903
1301 1301
1

Prime factors of 7806 are 2, 3,1301. Prime factorization of 7806 in exponential form is:

7806 = 21×31×13011

Now multiplying the highest exponent prime factors to calculate the LCM of 7800 and 7806.

LCM(7800,7806) = 23×31×52×131×13011
LCM(7800,7806) = 10147800

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 7806

List of positive integer factors of 7806 that divides 7806 without a remainder.

1, 2, 3, 6, 1301, 2602, 3903, 7806

Least Common Multiple of 7800 and 7806 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 7806, than apply into the LCM equation.

GCF(7800,7806) = 6
LCM(7800,7806) = ( 7800 × 7806) / 6
LCM(7800,7806) = 60886800 / 6
LCM(7800,7806) = 10147800

Properties of LCM 7800 and 7806

(i) The LCM of 7806 and 7800 is associative

LCM of 7800 and 7806 = LCM of 7806 and 7800

Related Least Common Multiples of 7800

Related Least Common Multiples of 7806

Frequently Asked Questions on LCM of 7800 and 7806

1. What is the LCM of 7800 and 7806?

Answer: LCM of 7800 and 7806 is 10147800.

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 7806?

Answer: Factors of 7806 are 1, 2, 3, 6, 1301, 2602, 3903, 7806. There are 8 integers that are factors of 7806. The greatest factor of 7806 is 7806.

4. How to Find the LCM of 7800 and 7806?

Answer:

Least Common Multiple of 7800 and 7806 = 10147800

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 7806

7806 = 2 x 3 x 1301

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

LCM = 10147800 = 2 x 2 x 2 x 3 x 5 x 5 x 13 x 1301

Step 4: Therefore, the least common multiple of 7800 and 7806 is 10147800.