Least Common Multiple of 7792 and 7797

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 7797 the smallest integer that is 60754224 that is divisible by both numbers.

Least Common Multiple (LCM) of 7792 and 7797 is 60754224.

LCM(7792,7797) = 60754224

LCM of 7792 and 7797

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

LCM of:
and

Least Common Multiple of 7792 and 7797

LCM of 7792 and 7797 is 60754224

Least common multiple can be found by multiplying the highest exponent prime factors of 7792 and 7797. First we will calculate the prime factors of 7792 and 7797.

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 7797


3 7797
23 2599
113 113
1

Prime factors of 7797 are 3, 23,113. Prime factorization of 7797 in exponential form is:

7797 = 31×231×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 7792 and 7797.

LCM(7792,7797) = 24×31×231×1131×4871
LCM(7792,7797) = 60754224

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 7797

List of positive integer factors of 7797 that divides 7797 without a remainder.

1, 3, 23, 69, 113, 339, 2599, 7797

Least Common Multiple of 7792 and 7797 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 7797, than apply into the LCM equation.

GCF(7792,7797) = 1
LCM(7792,7797) = ( 7792 × 7797) / 1
LCM(7792,7797) = 60754224 / 1
LCM(7792,7797) = 60754224

Properties of LCM 7792 and 7797

(i) The LCM of 7797 and 7792 is associative

LCM of 7792 and 7797 = LCM of 7797 and 7792

Related Least Common Multiples of 7792

Related Least Common Multiples of 7797

Frequently Asked Questions on LCM of 7792 and 7797

1. What is the LCM of 7792 and 7797?

Answer: LCM of 7792 and 7797 is 60754224.

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 7797?

Answer: Factors of 7797 are 1, 3, 23, 69, 113, 339, 2599, 7797. There are 8 integers that are factors of 7797. The greatest factor of 7797 is 7797.

4. How to Find the LCM of 7792 and 7797?

Answer:

Least Common Multiple of 7792 and 7797 = 60754224

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 7797

7797 = 3 x 23 x 113

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

LCM = 60754224 = 2 x 2 x 2 x 2 x 3 x 23 x 113 x 487

Step 4: Therefore, the least common multiple of 7792 and 7797 is 60754224.