Least Common Multiple of 7792 and 7796

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 7796 the smallest integer that is 15186608 that is divisible by both numbers.

Least Common Multiple (LCM) of 7792 and 7796 is 15186608.

LCM(7792,7796) = 15186608

LCM of 7792 and 7796

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

LCM of:
and

Least Common Multiple of 7792 and 7796

LCM of 7792 and 7796 is 15186608

Least common multiple can be found by multiplying the highest exponent prime factors of 7792 and 7796. First we will calculate the prime factors of 7792 and 7796.

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 7796


2 7796
2 3898
1949 1949
1

Prime factors of 7796 are 2,1949. Prime factorization of 7796 in exponential form is:

7796 = 22×19491

Now multiplying the highest exponent prime factors to calculate the LCM of 7792 and 7796.

LCM(7792,7796) = 24×4871×19491
LCM(7792,7796) = 15186608

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 7796

List of positive integer factors of 7796 that divides 7796 without a remainder.

1, 2, 4, 1949, 3898, 7796

Least Common Multiple of 7792 and 7796 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 7796, than apply into the LCM equation.

GCF(7792,7796) = 4
LCM(7792,7796) = ( 7792 × 7796) / 4
LCM(7792,7796) = 60746432 / 4
LCM(7792,7796) = 15186608

Properties of LCM 7792 and 7796

(i) The LCM of 7796 and 7792 is associative

LCM of 7792 and 7796 = LCM of 7796 and 7792

Related Least Common Multiples of 7792

Related Least Common Multiples of 7796

Frequently Asked Questions on LCM of 7792 and 7796

1. What is the LCM of 7792 and 7796?

Answer: LCM of 7792 and 7796 is 15186608.

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 7796?

Answer: Factors of 7796 are 1, 2, 4, 1949, 3898, 7796. There are 6 integers that are factors of 7796. The greatest factor of 7796 is 7796.

4. How to Find the LCM of 7792 and 7796?

Answer:

Least Common Multiple of 7792 and 7796 = 15186608

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 7796

7796 = 2 x 2 x 1949

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

LCM = 15186608 = 2 x 2 x 2 x 2 x 487 x 1949

Step 4: Therefore, the least common multiple of 7792 and 7796 is 15186608.