Least Common Multiple of 783 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 783 and 787 the smallest integer that is 616221 that is divisible by both numbers.

Least Common Multiple (LCM) of 783 and 787 is 616221.

LCM(783,787) = 616221

LCM of 783 and 787

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

LCM of:
and

Least Common Multiple of 783 and 787

LCM of 783 and 787 is 616221

Least common multiple can be found by multiplying the highest exponent prime factors of 783 and 787. First we will calculate the prime factors of 783 and 787.

Prime Factorization of 783


3 783
3 261
3 87
29 29
1

Prime factors of 783 are 3,29. Prime factorization of 783 in exponential form is:

783 = 33×291

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 783 and 787.

LCM(783,787) = 33×291×7871
LCM(783,787) = 616221

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Factors of 787

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

1, 787

Least Common Multiple of 783 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 783 and 787, than apply into the LCM equation.

GCF(783,787) = 1
LCM(783,787) = ( 783 × 787) / 1
LCM(783,787) = 616221 / 1
LCM(783,787) = 616221

Properties of LCM 783 and 787

(i) The LCM of 787 and 783 is associative

LCM of 783 and 787 = LCM of 787 and 783

Related Least Common Multiples of 783

Related Least Common Multiples of 787

Frequently Asked Questions on LCM of 783 and 787

1. What is the LCM of 783 and 787?

Answer: LCM of 783 and 787 is 616221.

2. What are the Factors of 783?

Answer: Factors of 783 are 1, 3, 9, 27, 29, 87, 261, 783. There are 8 integers that are factors of 783. The greatest factor of 783 is 783.

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 783 and 787?

Answer:

Least Common Multiple of 783 and 787 = 616221

Step 1: Find the prime factorization of 783

783 = 3 x 3 x 3 x 29

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 = 616221 = 3 x 3 x 3 x 29 x 787

Step 4: Therefore, the least common multiple of 783 and 787 is 616221.