Least Common Multiple of 788 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 788 and 791 the smallest integer that is 623308 that is divisible by both numbers.

Least Common Multiple (LCM) of 788 and 791 is 623308.

LCM(788,791) = 623308

LCM of 788 and 791

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

LCM of:
and

Least Common Multiple of 788 and 791

LCM of 788 and 791 is 623308

Least common multiple can be found by multiplying the highest exponent prime factors of 788 and 791. First we will calculate the prime factors of 788 and 791.

Prime Factorization of 788


2 788
2 394
197 197
1

Prime factors of 788 are 2,197. Prime factorization of 788 in exponential form is:

788 = 22×1971

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 788 and 791.

LCM(788,791) = 22×71×1131×1971
LCM(788,791) = 623308

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Factors of 791

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

1, 7, 113, 791

Least Common Multiple of 788 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 788 and 791, than apply into the LCM equation.

GCF(788,791) = 1
LCM(788,791) = ( 788 × 791) / 1
LCM(788,791) = 623308 / 1
LCM(788,791) = 623308

Properties of LCM 788 and 791

(i) The LCM of 791 and 788 is associative

LCM of 788 and 791 = LCM of 791 and 788

Related Least Common Multiples of 788

Related Least Common Multiples of 791

Frequently Asked Questions on LCM of 788 and 791

1. What is the LCM of 788 and 791?

Answer: LCM of 788 and 791 is 623308.

2. What are the Factors of 788?

Answer: Factors of 788 are 1, 2, 4, 197, 394, 788. There are 6 integers that are factors of 788. The greatest factor of 788 is 788.

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 788 and 791?

Answer:

Least Common Multiple of 788 and 791 = 623308

Step 1: Find the prime factorization of 788

788 = 2 x 2 x 197

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 = 623308 = 2 x 2 x 7 x 113 x 197

Step 4: Therefore, the least common multiple of 788 and 791 is 623308.