Least Common Multiple of 780 and 783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 780 and 783 the smallest integer that is 203580 that is divisible by both numbers.

Least Common Multiple (LCM) of 780 and 783 is 203580.

LCM(780,783) = 203580

LCM of 780 and 783

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

LCM of:
and

Least Common Multiple of 780 and 783

LCM of 780 and 783 is 203580

Least common multiple can be found by multiplying the highest exponent prime factors of 780 and 783. First we will calculate the prime factors of 780 and 783.

Prime Factorization of 780


2 780
2 390
3 195
5 65
13 13
1

Prime factors of 780 are 2, 3, 5,13. Prime factorization of 780 in exponential form is:

780 = 22×31×51×131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 780 and 783.

LCM(780,783) = 22×33×51×131×291
LCM(780,783) = 203580

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Factors of 783

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

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

Least Common Multiple of 780 and 783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 780 and 783, than apply into the LCM equation.

GCF(780,783) = 3
LCM(780,783) = ( 780 × 783) / 3
LCM(780,783) = 610740 / 3
LCM(780,783) = 203580

Properties of LCM 780 and 783

(i) The LCM of 783 and 780 is associative

LCM of 780 and 783 = LCM of 783 and 780

Related Least Common Multiples of 780

Related Least Common Multiples of 783

Frequently Asked Questions on LCM of 780 and 783

1. What is the LCM of 780 and 783?

Answer: LCM of 780 and 783 is 203580.

2. What are the Factors of 780?

Answer: Factors of 780 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780. There are 24 integers that are factors of 780. The greatest factor of 780 is 780.

3. 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.

4. How to Find the LCM of 780 and 783?

Answer:

Least Common Multiple of 780 and 783 = 203580

Step 1: Find the prime factorization of 780

780 = 2 x 2 x 3 x 5 x 13

Step 2: Find the prime factorization of 783

783 = 3 x 3 x 3 x 29

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

LCM = 203580 = 2 x 2 x 3 x 3 x 3 x 5 x 13 x 29

Step 4: Therefore, the least common multiple of 780 and 783 is 203580.