Least Common Multiple of 7793 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 7793 and 7800 the smallest integer that is 60785400 that is divisible by both numbers.

Least Common Multiple (LCM) of 7793 and 7800 is 60785400.

LCM(7793,7800) = 60785400

LCM of 7793 and 7800

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

LCM of:
and

Least Common Multiple of 7793 and 7800

LCM of 7793 and 7800 is 60785400

Least common multiple can be found by multiplying the highest exponent prime factors of 7793 and 7800. First we will calculate the prime factors of 7793 and 7800.

Prime Factorization of 7793


7793 7793
1

Prime factors of 7793 are 7793. Prime factorization of 7793 in exponential form is:

7793 = 77931

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 7793 and 7800.

LCM(7793,7800) = 23×31×52×131×77931
LCM(7793,7800) = 60785400

Factors of 7793

List of positive integer factors of 7793 that divides 7793 without a remainder.

1, 7793

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 7793 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 7793 and 7800, than apply into the LCM equation.

GCF(7793,7800) = 1
LCM(7793,7800) = ( 7793 × 7800) / 1
LCM(7793,7800) = 60785400 / 1
LCM(7793,7800) = 60785400

Properties of LCM 7793 and 7800

(i) The LCM of 7800 and 7793 is associative

LCM of 7793 and 7800 = LCM of 7800 and 7793

Related Least Common Multiples of 7793

Related Least Common Multiples of 7800

Frequently Asked Questions on LCM of 7793 and 7800

1. What is the LCM of 7793 and 7800?

Answer: LCM of 7793 and 7800 is 60785400.

2. What are the Factors of 7793?

Answer: Factors of 7793 are 1, 7793. There are 2 integers that are factors of 7793. The greatest factor of 7793 is 7793.

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 7793 and 7800?

Answer:

Least Common Multiple of 7793 and 7800 = 60785400

Step 1: Find the prime factorization of 7793

7793 = 7793

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 = 60785400 = 2 x 2 x 2 x 3 x 5 x 5 x 13 x 7793

Step 4: Therefore, the least common multiple of 7793 and 7800 is 60785400.