Least Common Multiple of 786 and 787

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 786 and 787 the smallest integer that is 618582 that is divisible by both numbers.

Least Common Multiple (LCM) of 786 and 787 is 618582.

LCM(786,787) = 618582

LCM of 786 and 787

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

LCM of:
and

Least Common Multiple of 786 and 787

LCM of 786 and 787 is 618582

Least common multiple can be found by multiplying the highest exponent prime factors of 786 and 787. First we will calculate the prime factors of 786 and 787.

Prime Factorization of 786


2 786
3 393
131 131
1

Prime factors of 786 are 2, 3,131. Prime factorization of 786 in exponential form is:

786 = 21×31×1311

Prime Factorization of 787


787 787
1

Prime factors of 787 are 787. Prime factorization of 787 in exponential form is:

787 = 7871

Now multiplying the highest exponent prime factors to calculate the LCM of 786 and 787.

LCM(786,787) = 21×31×1311×7871
LCM(786,787) = 618582

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Factors of 787

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

1, 787

Least Common Multiple of 786 and 787 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 786 and 787, than apply into the LCM equation.

GCF(786,787) = 1
LCM(786,787) = ( 786 × 787) / 1
LCM(786,787) = 618582 / 1
LCM(786,787) = 618582

Properties of LCM 786 and 787

(i) The LCM of 787 and 786 is associative

LCM of 786 and 787 = LCM of 787 and 786

Related Least Common Multiples of 786

Related Least Common Multiples of 787

Frequently Asked Questions on LCM of 786 and 787

1. What is the LCM of 786 and 787?

Answer: LCM of 786 and 787 is 618582.

2. What are the Factors of 786?

Answer: Factors of 786 are 1, 2, 3, 6, 131, 262, 393, 786. There are 8 integers that are factors of 786. The greatest factor of 786 is 786.

3. 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.

4. How to Find the LCM of 786 and 787?

Answer:

Least Common Multiple of 786 and 787 = 618582

Step 1: Find the prime factorization of 786

786 = 2 x 3 x 131

Step 2: Find the prime factorization of 787

787 = 787

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

LCM = 618582 = 2 x 3 x 131 x 787

Step 4: Therefore, the least common multiple of 786 and 787 is 618582.