Least Common Multiple of 769 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 769 and 775 the smallest integer that is 595975 that is divisible by both numbers.

Least Common Multiple (LCM) of 769 and 775 is 595975.

LCM(769,775) = 595975

LCM of 769 and 775

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

LCM of:
and

Least Common Multiple of 769 and 775

LCM of 769 and 775 is 595975

Least common multiple can be found by multiplying the highest exponent prime factors of 769 and 775. First we will calculate the prime factors of 769 and 775.

Prime Factorization of 769


769 769
1

Prime factors of 769 are 769. Prime factorization of 769 in exponential form is:

769 = 7691

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 769 and 775.

LCM(769,775) = 52×311×7691
LCM(769,775) = 595975

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1, 769

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 769 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 769 and 775, than apply into the LCM equation.

GCF(769,775) = 1
LCM(769,775) = ( 769 × 775) / 1
LCM(769,775) = 595975 / 1
LCM(769,775) = 595975

Properties of LCM 769 and 775

(i) The LCM of 775 and 769 is associative

LCM of 769 and 775 = LCM of 775 and 769

Related Least Common Multiples of 769

Related Least Common Multiples of 775

Frequently Asked Questions on LCM of 769 and 775

1. What is the LCM of 769 and 775?

Answer: LCM of 769 and 775 is 595975.

2. What are the Factors of 769?

Answer: Factors of 769 are 1, 769. There are 2 integers that are factors of 769. The greatest factor of 769 is 769.

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 769 and 775?

Answer:

Least Common Multiple of 769 and 775 = 595975

Step 1: Find the prime factorization of 769

769 = 769

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 = 595975 = 5 x 5 x 31 x 769

Step 4: Therefore, the least common multiple of 769 and 775 is 595975.