Least Common Multiple of 7794 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 7794 and 7800 the smallest integer that is 10132200 that is divisible by both numbers.

Least Common Multiple (LCM) of 7794 and 7800 is 10132200.

LCM(7794,7800) = 10132200

LCM of 7794 and 7800

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

LCM of:
and

Least Common Multiple of 7794 and 7800

LCM of 7794 and 7800 is 10132200

Least common multiple can be found by multiplying the highest exponent prime factors of 7794 and 7800. First we will calculate the prime factors of 7794 and 7800.

Prime Factorization of 7794


2 7794
3 3897
3 1299
433 433
1

Prime factors of 7794 are 2, 3,433. Prime factorization of 7794 in exponential form is:

7794 = 21×32×4331

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 7794 and 7800.

LCM(7794,7800) = 23×32×52×131×4331
LCM(7794,7800) = 10132200

Factors of 7794

List of positive integer factors of 7794 that divides 7794 without a remainder.

1, 2, 3, 6, 9, 18, 433, 866, 1299, 2598, 3897, 7794

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 7794 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 7794 and 7800, than apply into the LCM equation.

GCF(7794,7800) = 6
LCM(7794,7800) = ( 7794 × 7800) / 6
LCM(7794,7800) = 60793200 / 6
LCM(7794,7800) = 10132200

Properties of LCM 7794 and 7800

(i) The LCM of 7800 and 7794 is associative

LCM of 7794 and 7800 = LCM of 7800 and 7794

Related Least Common Multiples of 7794

Related Least Common Multiples of 7800

Frequently Asked Questions on LCM of 7794 and 7800

1. What is the LCM of 7794 and 7800?

Answer: LCM of 7794 and 7800 is 10132200.

2. What are the Factors of 7794?

Answer: Factors of 7794 are 1, 2, 3, 6, 9, 18, 433, 866, 1299, 2598, 3897, 7794. There are 12 integers that are factors of 7794. The greatest factor of 7794 is 7794.

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 7794 and 7800?

Answer:

Least Common Multiple of 7794 and 7800 = 10132200

Step 1: Find the prime factorization of 7794

7794 = 2 x 3 x 3 x 433

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 = 10132200 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 13 x 433

Step 4: Therefore, the least common multiple of 7794 and 7800 is 10132200.