Least Common Multiple of 7795 and 7800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7795 and 7800 the smallest integer that is 12160200 that is divisible by both numbers.

Least Common Multiple (LCM) of 7795 and 7800 is 12160200.

LCM(7795,7800) = 12160200

LCM of 7795 and 7800

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

LCM of:
and

Least Common Multiple of 7795 and 7800

LCM of 7795 and 7800 is 12160200

Least common multiple can be found by multiplying the highest exponent prime factors of 7795 and 7800. First we will calculate the prime factors of 7795 and 7800.

Prime Factorization of 7795


5 7795
1559 1559
1

Prime factors of 7795 are 5,1559. Prime factorization of 7795 in exponential form is:

7795 = 51×15591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7795 and 7800.

LCM(7795,7800) = 23×31×52×131×15591
LCM(7795,7800) = 12160200

Factors of 7795

List of positive integer factors of 7795 that divides 7795 without a remainder.

1, 5, 1559, 7795

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

Least Common Multiple of 7795 and 7800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7795 and 7800, than apply into the LCM equation.

GCF(7795,7800) = 5
LCM(7795,7800) = ( 7795 × 7800) / 5
LCM(7795,7800) = 60801000 / 5
LCM(7795,7800) = 12160200

Properties of LCM 7795 and 7800

(i) The LCM of 7800 and 7795 is associative

LCM of 7795 and 7800 = LCM of 7800 and 7795

Related Least Common Multiples of 7795

Related Least Common Multiples of 7800

Frequently Asked Questions on LCM of 7795 and 7800

1. What is the LCM of 7795 and 7800?

Answer: LCM of 7795 and 7800 is 12160200.

2. What are the Factors of 7795?

Answer: Factors of 7795 are 1, 5, 1559, 7795. There are 4 integers that are factors of 7795. The greatest factor of 7795 is 7795.

3. 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.

4. How to Find the LCM of 7795 and 7800?

Answer:

Least Common Multiple of 7795 and 7800 = 12160200

Step 1: Find the prime factorization of 7795

7795 = 5 x 1559

Step 2: Find the prime factorization of 7800

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

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

LCM = 12160200 = 2 x 2 x 2 x 3 x 5 x 5 x 13 x 1559

Step 4: Therefore, the least common multiple of 7795 and 7800 is 12160200.