Least Common Multiple of 781 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 781 and 787 the smallest integer that is 614647 that is divisible by both numbers.

Least Common Multiple (LCM) of 781 and 787 is 614647.

LCM(781,787) = 614647

LCM of 781 and 787

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

LCM of:
and

Least Common Multiple of 781 and 787

LCM of 781 and 787 is 614647

Least common multiple can be found by multiplying the highest exponent prime factors of 781 and 787. First we will calculate the prime factors of 781 and 787.

Prime Factorization of 781


11 781
71 71
1

Prime factors of 781 are 11,71. Prime factorization of 781 in exponential form is:

781 = 111×711

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 781 and 787.

LCM(781,787) = 111×711×7871
LCM(781,787) = 614647

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1, 11, 71, 781

Factors of 787

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

1, 787

Least Common Multiple of 781 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 781 and 787, than apply into the LCM equation.

GCF(781,787) = 1
LCM(781,787) = ( 781 × 787) / 1
LCM(781,787) = 614647 / 1
LCM(781,787) = 614647

Properties of LCM 781 and 787

(i) The LCM of 787 and 781 is associative

LCM of 781 and 787 = LCM of 787 and 781

Related Least Common Multiples of 781

Related Least Common Multiples of 787

Frequently Asked Questions on LCM of 781 and 787

1. What is the LCM of 781 and 787?

Answer: LCM of 781 and 787 is 614647.

2. What are the Factors of 781?

Answer: Factors of 781 are 1, 11, 71, 781. There are 4 integers that are factors of 781. The greatest factor of 781 is 781.

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 781 and 787?

Answer:

Least Common Multiple of 781 and 787 = 614647

Step 1: Find the prime factorization of 781

781 = 11 x 71

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 = 614647 = 11 x 71 x 787

Step 4: Therefore, the least common multiple of 781 and 787 is 614647.