Least Common Multiple of 7792 and 7793

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 7793 the smallest integer that is 60723056 that is divisible by both numbers.

Least Common Multiple (LCM) of 7792 and 7793 is 60723056.

LCM(7792,7793) = 60723056

LCM of 7792 and 7793

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

LCM of:
and

Least Common Multiple of 7792 and 7793

LCM of 7792 and 7793 is 60723056

Least common multiple can be found by multiplying the highest exponent prime factors of 7792 and 7793. First we will calculate the prime factors of 7792 and 7793.

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 7793


7793 7793
1

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

7793 = 77931

Now multiplying the highest exponent prime factors to calculate the LCM of 7792 and 7793.

LCM(7792,7793) = 24×4871×77931
LCM(7792,7793) = 60723056

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 7793

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

1, 7793

Least Common Multiple of 7792 and 7793 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 7793, than apply into the LCM equation.

GCF(7792,7793) = 1
LCM(7792,7793) = ( 7792 × 7793) / 1
LCM(7792,7793) = 60723056 / 1
LCM(7792,7793) = 60723056

Properties of LCM 7792 and 7793

(i) The LCM of 7793 and 7792 is associative

LCM of 7792 and 7793 = LCM of 7793 and 7792

Related Least Common Multiples of 7792

Related Least Common Multiples of 7793

Frequently Asked Questions on LCM of 7792 and 7793

1. What is the LCM of 7792 and 7793?

Answer: LCM of 7792 and 7793 is 60723056.

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 7793?

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

4. How to Find the LCM of 7792 and 7793?

Answer:

Least Common Multiple of 7792 and 7793 = 60723056

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 7793

7793 = 7793

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

LCM = 60723056 = 2 x 2 x 2 x 2 x 487 x 7793

Step 4: Therefore, the least common multiple of 7792 and 7793 is 60723056.