Least Common Multiple of 787 and 789

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 789 the smallest integer that is 620943 that is divisible by both numbers.

Least Common Multiple (LCM) of 787 and 789 is 620943.

LCM(787,789) = 620943

LCM of 787 and 789

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

LCM of:
and

Least Common Multiple of 787 and 789

LCM of 787 and 789 is 620943

Least common multiple can be found by multiplying the highest exponent prime factors of 787 and 789. First we will calculate the prime factors of 787 and 789.

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 789


3 789
263 263
1

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

789 = 31×2631

Now multiplying the highest exponent prime factors to calculate the LCM of 787 and 789.

LCM(787,789) = 31×2631×7871
LCM(787,789) = 620943

Factors of 787

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

1, 787

Factors of 789

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

1, 3, 263, 789

Least Common Multiple of 787 and 789 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 789, than apply into the LCM equation.

GCF(787,789) = 1
LCM(787,789) = ( 787 × 789) / 1
LCM(787,789) = 620943 / 1
LCM(787,789) = 620943

Properties of LCM 787 and 789

(i) The LCM of 789 and 787 is associative

LCM of 787 and 789 = LCM of 789 and 787

Related Least Common Multiples of 787

Related Least Common Multiples of 789

Frequently Asked Questions on LCM of 787 and 789

1. What is the LCM of 787 and 789?

Answer: LCM of 787 and 789 is 620943.

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 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.

4. How to Find the LCM of 787 and 789?

Answer:

Least Common Multiple of 787 and 789 = 620943

Step 1: Find the prime factorization of 787

787 = 787

Step 2: Find the prime factorization of 789

789 = 3 x 263

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

LCM = 620943 = 3 x 263 x 787

Step 4: Therefore, the least common multiple of 787 and 789 is 620943.