Least Common Multiple of 787 and 790

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 790 the smallest integer that is 621730 that is divisible by both numbers.

Least Common Multiple (LCM) of 787 and 790 is 621730.

LCM(787,790) = 621730

LCM of 787 and 790

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

LCM of:
and

Least Common Multiple of 787 and 790

LCM of 787 and 790 is 621730

Least common multiple can be found by multiplying the highest exponent prime factors of 787 and 790. First we will calculate the prime factors of 787 and 790.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 787 and 790.

LCM(787,790) = 21×51×791×7871
LCM(787,790) = 621730

Factors of 787

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

1, 787

Factors of 790

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

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

Least Common Multiple of 787 and 790 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 790, than apply into the LCM equation.

GCF(787,790) = 1
LCM(787,790) = ( 787 × 790) / 1
LCM(787,790) = 621730 / 1
LCM(787,790) = 621730

Properties of LCM 787 and 790

(i) The LCM of 790 and 787 is associative

LCM of 787 and 790 = LCM of 790 and 787

Related Least Common Multiples of 787

Related Least Common Multiples of 790

Frequently Asked Questions on LCM of 787 and 790

1. What is the LCM of 787 and 790?

Answer: LCM of 787 and 790 is 621730.

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 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.

4. How to Find the LCM of 787 and 790?

Answer:

Least Common Multiple of 787 and 790 = 621730

Step 1: Find the prime factorization of 787

787 = 787

Step 2: Find the prime factorization of 790

790 = 2 x 5 x 79

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 621730 = 2 x 5 x 79 x 787

Step 4: Therefore, the least common multiple of 787 and 790 is 621730.