Least Common Multiple of 780 and 781

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 781 the smallest integer that is 609180 that is divisible by both numbers.

Least Common Multiple (LCM) of 780 and 781 is 609180.

LCM(780,781) = 609180

LCM of 780 and 781

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

LCM of:
and

Least Common Multiple of 780 and 781

LCM of 780 and 781 is 609180

Least common multiple can be found by multiplying the highest exponent prime factors of 780 and 781. First we will calculate the prime factors of 780 and 781.

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 781


11 781
71 71
1

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

781 = 111×711

Now multiplying the highest exponent prime factors to calculate the LCM of 780 and 781.

LCM(780,781) = 22×31×51×111×131×711
LCM(780,781) = 609180

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 781

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

1, 11, 71, 781

Least Common Multiple of 780 and 781 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 781, than apply into the LCM equation.

GCF(780,781) = 1
LCM(780,781) = ( 780 × 781) / 1
LCM(780,781) = 609180 / 1
LCM(780,781) = 609180

Properties of LCM 780 and 781

(i) The LCM of 781 and 780 is associative

LCM of 780 and 781 = LCM of 781 and 780

Related Least Common Multiples of 780

Related Least Common Multiples of 781

Frequently Asked Questions on LCM of 780 and 781

1. What is the LCM of 780 and 781?

Answer: LCM of 780 and 781 is 609180.

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 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.

4. How to Find the LCM of 780 and 781?

Answer:

Least Common Multiple of 780 and 781 = 609180

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 781

781 = 11 x 71

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

LCM = 609180 = 2 x 2 x 3 x 5 x 11 x 13 x 71

Step 4: Therefore, the least common multiple of 780 and 781 is 609180.