Least Common Multiple of 789 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 789 and 790 the smallest integer that is 623310 that is divisible by both numbers.

Least Common Multiple (LCM) of 789 and 790 is 623310.

LCM(789,790) = 623310

LCM of 789 and 790

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

LCM of:
and

Least Common Multiple of 789 and 790

LCM of 789 and 790 is 623310

Least common multiple can be found by multiplying the highest exponent prime factors of 789 and 790. First we will calculate the prime factors of 789 and 790.

Prime Factorization of 789


3 789
263 263
1

Prime factors of 789 are 3,263. Prime factorization of 789 in exponential form is:

789 = 31×2631

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 789 and 790.

LCM(789,790) = 21×31×51×791×2631
LCM(789,790) = 623310

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1, 3, 263, 789

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 789 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 789 and 790, than apply into the LCM equation.

GCF(789,790) = 1
LCM(789,790) = ( 789 × 790) / 1
LCM(789,790) = 623310 / 1
LCM(789,790) = 623310

Properties of LCM 789 and 790

(i) The LCM of 790 and 789 is associative

LCM of 789 and 790 = LCM of 790 and 789

Related Least Common Multiples of 789

Related Least Common Multiples of 790

Frequently Asked Questions on LCM of 789 and 790

1. What is the LCM of 789 and 790?

Answer: LCM of 789 and 790 is 623310.

2. What are the Factors of 789?

Answer: Factors of 789 are 1, 3, 263, 789. There are 4 integers that are factors of 789. The greatest factor of 789 is 789.

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 789 and 790?

Answer:

Least Common Multiple of 789 and 790 = 623310

Step 1: Find the prime factorization of 789

789 = 3 x 263

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 = 623310 = 2 x 3 x 5 x 79 x 263

Step 4: Therefore, the least common multiple of 789 and 790 is 623310.