Least Common Multiple of 787 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 787 and 791 the smallest integer that is 622517 that is divisible by both numbers.

Least Common Multiple (LCM) of 787 and 791 is 622517.

LCM(787,791) = 622517

LCM of 787 and 791

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

LCM of:
and

Least Common Multiple of 787 and 791

LCM of 787 and 791 is 622517

Least common multiple can be found by multiplying the highest exponent prime factors of 787 and 791. First we will calculate the prime factors of 787 and 791.

Prime Factorization of 787


787 787
1

Prime factors of 787 are 787. Prime factorization of 787 in exponential form is:

787 = 7871

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 787 and 791.

LCM(787,791) = 71×1131×7871
LCM(787,791) = 622517

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1, 787

Factors of 791

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

1, 7, 113, 791

Least Common Multiple of 787 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 787 and 791, than apply into the LCM equation.

GCF(787,791) = 1
LCM(787,791) = ( 787 × 791) / 1
LCM(787,791) = 622517 / 1
LCM(787,791) = 622517

Properties of LCM 787 and 791

(i) The LCM of 791 and 787 is associative

LCM of 787 and 791 = LCM of 791 and 787

Related Least Common Multiples of 787

Related Least Common Multiples of 791

Frequently Asked Questions on LCM of 787 and 791

1. What is the LCM of 787 and 791?

Answer: LCM of 787 and 791 is 622517.

2. What are the Factors of 787?

Answer: Factors of 787 are 1, 787. There are 2 integers that are factors of 787. The greatest factor of 787 is 787.

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 787 and 791?

Answer:

Least Common Multiple of 787 and 791 = 622517

Step 1: Find the prime factorization of 787

787 = 787

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 = 622517 = 7 x 113 x 787

Step 4: Therefore, the least common multiple of 787 and 791 is 622517.