Least Common Multiple of 785 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 785 and 791 the smallest integer that is 620935 that is divisible by both numbers.

Least Common Multiple (LCM) of 785 and 791 is 620935.

LCM(785,791) = 620935

LCM of 785 and 791

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

LCM of:
and

Least Common Multiple of 785 and 791

LCM of 785 and 791 is 620935

Least common multiple can be found by multiplying the highest exponent prime factors of 785 and 791. First we will calculate the prime factors of 785 and 791.

Prime Factorization of 785


5 785
157 157
1

Prime factors of 785 are 5,157. Prime factorization of 785 in exponential form is:

785 = 51×1571

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 785 and 791.

LCM(785,791) = 51×71×1131×1571
LCM(785,791) = 620935

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Factors of 791

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

1, 7, 113, 791

Least Common Multiple of 785 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 785 and 791, than apply into the LCM equation.

GCF(785,791) = 1
LCM(785,791) = ( 785 × 791) / 1
LCM(785,791) = 620935 / 1
LCM(785,791) = 620935

Properties of LCM 785 and 791

(i) The LCM of 791 and 785 is associative

LCM of 785 and 791 = LCM of 791 and 785

Related Least Common Multiples of 785

Related Least Common Multiples of 791

Frequently Asked Questions on LCM of 785 and 791

1. What is the LCM of 785 and 791?

Answer: LCM of 785 and 791 is 620935.

2. What are the Factors of 785?

Answer: Factors of 785 are 1, 5, 157, 785. There are 4 integers that are factors of 785. The greatest factor of 785 is 785.

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 785 and 791?

Answer:

Least Common Multiple of 785 and 791 = 620935

Step 1: Find the prime factorization of 785

785 = 5 x 157

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 = 620935 = 5 x 7 x 113 x 157

Step 4: Therefore, the least common multiple of 785 and 791 is 620935.