Least Common Multiple of 7784 and 7792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7784 and 7792 the smallest integer that is 7581616 that is divisible by both numbers.

Least Common Multiple (LCM) of 7784 and 7792 is 7581616.

LCM(7784,7792) = 7581616

LCM of 7784 and 7792

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

LCM of:
and

Least Common Multiple of 7784 and 7792

LCM of 7784 and 7792 is 7581616

Least common multiple can be found by multiplying the highest exponent prime factors of 7784 and 7792. First we will calculate the prime factors of 7784 and 7792.

Prime Factorization of 7784


2 7784
2 3892
2 1946
7 973
139 139
1

Prime factors of 7784 are 2, 7,139. Prime factorization of 7784 in exponential form is:

7784 = 23×71×1391

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7784 and 7792.

LCM(7784,7792) = 24×71×1391×4871
LCM(7784,7792) = 7581616

Factors of 7784

List of positive integer factors of 7784 that divides 7784 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 139, 278, 556, 973, 1112, 1946, 3892, 7784

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

Least Common Multiple of 7784 and 7792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7784 and 7792, than apply into the LCM equation.

GCF(7784,7792) = 8
LCM(7784,7792) = ( 7784 × 7792) / 8
LCM(7784,7792) = 60652928 / 8
LCM(7784,7792) = 7581616

Properties of LCM 7784 and 7792

(i) The LCM of 7792 and 7784 is associative

LCM of 7784 and 7792 = LCM of 7792 and 7784

Related Least Common Multiples of 7784

Related Least Common Multiples of 7792

Frequently Asked Questions on LCM of 7784 and 7792

1. What is the LCM of 7784 and 7792?

Answer: LCM of 7784 and 7792 is 7581616.

2. What are the Factors of 7784?

Answer: Factors of 7784 are 1, 2, 4, 7, 8, 14, 28, 56, 139, 278, 556, 973, 1112, 1946, 3892, 7784. There are 16 integers that are factors of 7784. The greatest factor of 7784 is 7784.

3. 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.

4. How to Find the LCM of 7784 and 7792?

Answer:

Least Common Multiple of 7784 and 7792 = 7581616

Step 1: Find the prime factorization of 7784

7784 = 2 x 2 x 2 x 7 x 139

Step 2: Find the prime factorization of 7792

7792 = 2 x 2 x 2 x 2 x 487

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

LCM = 7581616 = 2 x 2 x 2 x 2 x 7 x 139 x 487

Step 4: Therefore, the least common multiple of 7784 and 7792 is 7581616.