Least Common Multiple of 7792 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 7792 and 7800 the smallest integer that is 7597200 that is divisible by both numbers.

Least Common Multiple (LCM) of 7792 and 7800 is 7597200.

LCM(7792,7800) = 7597200

LCM of 7792 and 7800

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

LCM of:
and

Least Common Multiple of 7792 and 7800

LCM of 7792 and 7800 is 7597200

Least common multiple can be found by multiplying the highest exponent prime factors of 7792 and 7800. First we will calculate the prime factors of 7792 and 7800.

Prime Factorization of 7792


2 7792
2 3896
2 1948
2 974
487 487
1

Prime factors of 7792 are 2,487. Prime factorization of 7792 in exponential form is:

7792 = 24×4871

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 7792 and 7800.

LCM(7792,7800) = 24×31×52×131×4871
LCM(7792,7800) = 7597200

Factors of 7792

List of positive integer factors of 7792 that divides 7792 without a remainder.

1, 2, 4, 8, 16, 487, 974, 1948, 3896, 7792

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 7792 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 7792 and 7800, than apply into the LCM equation.

GCF(7792,7800) = 8
LCM(7792,7800) = ( 7792 × 7800) / 8
LCM(7792,7800) = 60777600 / 8
LCM(7792,7800) = 7597200

Properties of LCM 7792 and 7800

(i) The LCM of 7800 and 7792 is associative

LCM of 7792 and 7800 = LCM of 7800 and 7792

Related Least Common Multiples of 7792

Related Least Common Multiples of 7800

Frequently Asked Questions on LCM of 7792 and 7800

1. What is the LCM of 7792 and 7800?

Answer: LCM of 7792 and 7800 is 7597200.

2. What are the Factors of 7792?

Answer: Factors of 7792 are 1, 2, 4, 8, 16, 487, 974, 1948, 3896, 7792. There are 10 integers that are factors of 7792. The greatest factor of 7792 is 7792.

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 7792 and 7800?

Answer:

Least Common Multiple of 7792 and 7800 = 7597200

Step 1: Find the prime factorization of 7792

7792 = 2 x 2 x 2 x 2 x 487

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 = 7597200 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 13 x 487

Step 4: Therefore, the least common multiple of 7792 and 7800 is 7597200.