Least Common Multiple of 7792 and 7798

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 7798 the smallest integer that is 30381008 that is divisible by both numbers.

Least Common Multiple (LCM) of 7792 and 7798 is 30381008.

LCM(7792,7798) = 30381008

LCM of 7792 and 7798

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

LCM of:
and

Least Common Multiple of 7792 and 7798

LCM of 7792 and 7798 is 30381008

Least common multiple can be found by multiplying the highest exponent prime factors of 7792 and 7798. First we will calculate the prime factors of 7792 and 7798.

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 7798


2 7798
7 3899
557 557
1

Prime factors of 7798 are 2, 7,557. Prime factorization of 7798 in exponential form is:

7798 = 21×71×5571

Now multiplying the highest exponent prime factors to calculate the LCM of 7792 and 7798.

LCM(7792,7798) = 24×71×4871×5571
LCM(7792,7798) = 30381008

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 7798

List of positive integer factors of 7798 that divides 7798 without a remainder.

1, 2, 7, 14, 557, 1114, 3899, 7798

Least Common Multiple of 7792 and 7798 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 7798, than apply into the LCM equation.

GCF(7792,7798) = 2
LCM(7792,7798) = ( 7792 × 7798) / 2
LCM(7792,7798) = 60762016 / 2
LCM(7792,7798) = 30381008

Properties of LCM 7792 and 7798

(i) The LCM of 7798 and 7792 is associative

LCM of 7792 and 7798 = LCM of 7798 and 7792

Related Least Common Multiples of 7792

Related Least Common Multiples of 7798

Frequently Asked Questions on LCM of 7792 and 7798

1. What is the LCM of 7792 and 7798?

Answer: LCM of 7792 and 7798 is 30381008.

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 7798?

Answer: Factors of 7798 are 1, 2, 7, 14, 557, 1114, 3899, 7798. There are 8 integers that are factors of 7798. The greatest factor of 7798 is 7798.

4. How to Find the LCM of 7792 and 7798?

Answer:

Least Common Multiple of 7792 and 7798 = 30381008

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 7798

7798 = 2 x 7 x 557

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

LCM = 30381008 = 2 x 2 x 2 x 2 x 7 x 487 x 557

Step 4: Therefore, the least common multiple of 7792 and 7798 is 30381008.