Least Common Multiple of 790 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 790 and 791 the smallest integer that is 624890 that is divisible by both numbers.

Least Common Multiple (LCM) of 790 and 791 is 624890.

LCM(790,791) = 624890

LCM of 790 and 791

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

LCM of:
and

Least Common Multiple of 790 and 791

LCM of 790 and 791 is 624890

Least common multiple can be found by multiplying the highest exponent prime factors of 790 and 791. First we will calculate the prime factors of 790 and 791.

Prime Factorization of 790


2 790
5 395
79 79
1

Prime factors of 790 are 2, 5,79. Prime factorization of 790 in exponential form is:

790 = 21×51×791

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 790 and 791.

LCM(790,791) = 21×51×71×791×1131
LCM(790,791) = 624890

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Factors of 791

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

1, 7, 113, 791

Least Common Multiple of 790 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 790 and 791, than apply into the LCM equation.

GCF(790,791) = 1
LCM(790,791) = ( 790 × 791) / 1
LCM(790,791) = 624890 / 1
LCM(790,791) = 624890

Properties of LCM 790 and 791

(i) The LCM of 791 and 790 is associative

LCM of 790 and 791 = LCM of 791 and 790

Related Least Common Multiples of 790

Related Least Common Multiples of 791

Frequently Asked Questions on LCM of 790 and 791

1. What is the LCM of 790 and 791?

Answer: LCM of 790 and 791 is 624890.

2. What are the Factors of 790?

Answer: Factors of 790 are 1, 2, 5, 10, 79, 158, 395, 790. There are 8 integers that are factors of 790. The greatest factor of 790 is 790.

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 790 and 791?

Answer:

Least Common Multiple of 790 and 791 = 624890

Step 1: Find the prime factorization of 790

790 = 2 x 5 x 79

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 = 624890 = 2 x 5 x 7 x 79 x 113

Step 4: Therefore, the least common multiple of 790 and 791 is 624890.