Least Common Multiple of 767 and 775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 767 and 775 the smallest integer that is 594425 that is divisible by both numbers.

Least Common Multiple (LCM) of 767 and 775 is 594425.

LCM(767,775) = 594425

LCM of 767 and 775

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

LCM of:
and

Least Common Multiple of 767 and 775

LCM of 767 and 775 is 594425

Least common multiple can be found by multiplying the highest exponent prime factors of 767 and 775. First we will calculate the prime factors of 767 and 775.

Prime Factorization of 767


13 767
59 59
1

Prime factors of 767 are 13,59. Prime factorization of 767 in exponential form is:

767 = 131×591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 767 and 775.

LCM(767,775) = 52×131×311×591
LCM(767,775) = 594425

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Factors of 775

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

1, 5, 25, 31, 155, 775

Least Common Multiple of 767 and 775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 767 and 775, than apply into the LCM equation.

GCF(767,775) = 1
LCM(767,775) = ( 767 × 775) / 1
LCM(767,775) = 594425 / 1
LCM(767,775) = 594425

Properties of LCM 767 and 775

(i) The LCM of 775 and 767 is associative

LCM of 767 and 775 = LCM of 775 and 767

Related Least Common Multiples of 767

Related Least Common Multiples of 775

Frequently Asked Questions on LCM of 767 and 775

1. What is the LCM of 767 and 775?

Answer: LCM of 767 and 775 is 594425.

2. What are the Factors of 767?

Answer: Factors of 767 are 1, 13, 59, 767. There are 4 integers that are factors of 767. The greatest factor of 767 is 767.

3. 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.

4. How to Find the LCM of 767 and 775?

Answer:

Least Common Multiple of 767 and 775 = 594425

Step 1: Find the prime factorization of 767

767 = 13 x 59

Step 2: Find the prime factorization of 775

775 = 5 x 5 x 31

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

LCM = 594425 = 5 x 5 x 13 x 31 x 59

Step 4: Therefore, the least common multiple of 767 and 775 is 594425.