Least Common Multiple of 779 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 779 and 787 the smallest integer that is 613073 that is divisible by both numbers.

Least Common Multiple (LCM) of 779 and 787 is 613073.

LCM(779,787) = 613073

LCM of 779 and 787

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

LCM of:
and

Least Common Multiple of 779 and 787

LCM of 779 and 787 is 613073

Least common multiple can be found by multiplying the highest exponent prime factors of 779 and 787. First we will calculate the prime factors of 779 and 787.

Prime Factorization of 779


19 779
41 41
1

Prime factors of 779 are 19,41. Prime factorization of 779 in exponential form is:

779 = 191×411

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 779 and 787.

LCM(779,787) = 191×411×7871
LCM(779,787) = 613073

Factors of 779

List of positive integer factors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Factors of 787

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

1, 787

Least Common Multiple of 779 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 779 and 787, than apply into the LCM equation.

GCF(779,787) = 1
LCM(779,787) = ( 779 × 787) / 1
LCM(779,787) = 613073 / 1
LCM(779,787) = 613073

Properties of LCM 779 and 787

(i) The LCM of 787 and 779 is associative

LCM of 779 and 787 = LCM of 787 and 779

Related Least Common Multiples of 779

Related Least Common Multiples of 787

Frequently Asked Questions on LCM of 779 and 787

1. What is the LCM of 779 and 787?

Answer: LCM of 779 and 787 is 613073.

2. What are the Factors of 779?

Answer: Factors of 779 are 1, 19, 41, 779. There are 4 integers that are factors of 779. The greatest factor of 779 is 779.

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 779 and 787?

Answer:

Least Common Multiple of 779 and 787 = 613073

Step 1: Find the prime factorization of 779

779 = 19 x 41

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 = 613073 = 19 x 41 x 787

Step 4: Therefore, the least common multiple of 779 and 787 is 613073.