Least Common Multiple of 775 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 775 and 781 the smallest integer that is 605275 that is divisible by both numbers.

Least Common Multiple (LCM) of 775 and 781 is 605275.

LCM(775,781) = 605275

LCM of 775 and 781

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

LCM of:
and

Least Common Multiple of 775 and 781

LCM of 775 and 781 is 605275

Least common multiple can be found by multiplying the highest exponent prime factors of 775 and 781. First we will calculate the prime factors of 775 and 781.

Prime Factorization of 775


5 775
5 155
31 31
1

Prime factors of 775 are 5,31. Prime factorization of 775 in exponential form is:

775 = 52×311

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 775 and 781.

LCM(775,781) = 52×111×311×711
LCM(775,781) = 605275

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Factors of 781

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

1, 11, 71, 781

Least Common Multiple of 775 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 775 and 781, than apply into the LCM equation.

GCF(775,781) = 1
LCM(775,781) = ( 775 × 781) / 1
LCM(775,781) = 605275 / 1
LCM(775,781) = 605275

Properties of LCM 775 and 781

(i) The LCM of 781 and 775 is associative

LCM of 775 and 781 = LCM of 781 and 775

Related Least Common Multiples of 775

Related Least Common Multiples of 781

Frequently Asked Questions on LCM of 775 and 781

1. What is the LCM of 775 and 781?

Answer: LCM of 775 and 781 is 605275.

2. What are the Factors of 775?

Answer: Factors of 775 are 1, 5, 25, 31, 155, 775. There are 6 integers that are factors of 775. The greatest factor of 775 is 775.

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 775 and 781?

Answer:

Least Common Multiple of 775 and 781 = 605275

Step 1: Find the prime factorization of 775

775 = 5 x 5 x 31

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 = 605275 = 5 x 5 x 11 x 31 x 71

Step 4: Therefore, the least common multiple of 775 and 781 is 605275.