Least Common Multiple of 784 and 791

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 784 and 791 the smallest integer that is 88592 that is divisible by both numbers.

Least Common Multiple (LCM) of 784 and 791 is 88592.

LCM(784,791) = 88592

LCM of 784 and 791

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

LCM of:
and

Least Common Multiple of 784 and 791

LCM of 784 and 791 is 88592

Least common multiple can be found by multiplying the highest exponent prime factors of 784 and 791. First we will calculate the prime factors of 784 and 791.

Prime Factorization of 784


2 784
2 392
2 196
2 98
7 49
7 7
1

Prime factors of 784 are 2,7. Prime factorization of 784 in exponential form is:

784 = 24×72

Prime Factorization of 791


7 791
113 113
1

Prime factors of 791 are 7,113. Prime factorization of 791 in exponential form is:

791 = 71×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 784 and 791.

LCM(784,791) = 24×72×1131
LCM(784,791) = 88592

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Factors of 791

List of positive integer factors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Least Common Multiple of 784 and 791 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 784 and 791, than apply into the LCM equation.

GCF(784,791) = 7
LCM(784,791) = ( 784 × 791) / 7
LCM(784,791) = 620144 / 7
LCM(784,791) = 88592

Properties of LCM 784 and 791

(i) The LCM of 791 and 784 is associative

LCM of 784 and 791 = LCM of 791 and 784

Related Least Common Multiples of 784

Related Least Common Multiples of 791

Frequently Asked Questions on LCM of 784 and 791

1. What is the LCM of 784 and 791?

Answer: LCM of 784 and 791 is 88592.

2. What are the Factors of 784?

Answer: Factors of 784 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784. There are 15 integers that are factors of 784. The greatest factor of 784 is 784.

3. What are the Factors of 791?

Answer: Factors of 791 are 1, 7, 113, 791. There are 4 integers that are factors of 791. The greatest factor of 791 is 791.

4. How to Find the LCM of 784 and 791?

Answer:

Least Common Multiple of 784 and 791 = 88592

Step 1: Find the prime factorization of 784

784 = 2 x 2 x 2 x 2 x 7 x 7

Step 2: Find the prime factorization of 791

791 = 7 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 = 88592 = 2 x 2 x 2 x 2 x 7 x 7 x 113

Step 4: Therefore, the least common multiple of 784 and 791 is 88592.