Least Common Multiple of 781 and 789

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 789 the smallest integer that is 616209 that is divisible by both numbers.

Least Common Multiple (LCM) of 781 and 789 is 616209.

LCM(781,789) = 616209

LCM of 781 and 789

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

LCM of:
and

Least Common Multiple of 781 and 789

LCM of 781 and 789 is 616209

Least common multiple can be found by multiplying the highest exponent prime factors of 781 and 789. First we will calculate the prime factors of 781 and 789.

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 789


3 789
263 263
1

Prime factors of 789 are 3,263. Prime factorization of 789 in exponential form is:

789 = 31×2631

Now multiplying the highest exponent prime factors to calculate the LCM of 781 and 789.

LCM(781,789) = 31×111×711×2631
LCM(781,789) = 616209

Factors of 781

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

1, 11, 71, 781

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Least Common Multiple of 781 and 789 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 789, than apply into the LCM equation.

GCF(781,789) = 1
LCM(781,789) = ( 781 × 789) / 1
LCM(781,789) = 616209 / 1
LCM(781,789) = 616209

Properties of LCM 781 and 789

(i) The LCM of 789 and 781 is associative

LCM of 781 and 789 = LCM of 789 and 781

Related Least Common Multiples of 781

Related Least Common Multiples of 789

Frequently Asked Questions on LCM of 781 and 789

1. What is the LCM of 781 and 789?

Answer: LCM of 781 and 789 is 616209.

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 789?

Answer: Factors of 789 are 1, 3, 263, 789. There are 4 integers that are factors of 789. The greatest factor of 789 is 789.

4. How to Find the LCM of 781 and 789?

Answer:

Least Common Multiple of 781 and 789 = 616209

Step 1: Find the prime factorization of 781

781 = 11 x 71

Step 2: Find the prime factorization of 789

789 = 3 x 263

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

LCM = 616209 = 3 x 11 x 71 x 263

Step 4: Therefore, the least common multiple of 781 and 789 is 616209.