Least Common Multiple of 769 and 774

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 774 the smallest integer that is 595206 that is divisible by both numbers.

Least Common Multiple (LCM) of 769 and 774 is 595206.

LCM(769,774) = 595206

LCM of 769 and 774

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

LCM of:
and

Least Common Multiple of 769 and 774

LCM of 769 and 774 is 595206

Least common multiple can be found by multiplying the highest exponent prime factors of 769 and 774. First we will calculate the prime factors of 769 and 774.

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 774


2 774
3 387
3 129
43 43
1

Prime factors of 774 are 2, 3,43. Prime factorization of 774 in exponential form is:

774 = 21×32×431

Now multiplying the highest exponent prime factors to calculate the LCM of 769 and 774.

LCM(769,774) = 21×32×431×7691
LCM(769,774) = 595206

Factors of 769

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

1, 769

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Least Common Multiple of 769 and 774 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 774, than apply into the LCM equation.

GCF(769,774) = 1
LCM(769,774) = ( 769 × 774) / 1
LCM(769,774) = 595206 / 1
LCM(769,774) = 595206

Properties of LCM 769 and 774

(i) The LCM of 774 and 769 is associative

LCM of 769 and 774 = LCM of 774 and 769

Related Least Common Multiples of 769

Related Least Common Multiples of 774

Frequently Asked Questions on LCM of 769 and 774

1. What is the LCM of 769 and 774?

Answer: LCM of 769 and 774 is 595206.

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 774?

Answer: Factors of 774 are 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774. There are 12 integers that are factors of 774. The greatest factor of 774 is 774.

4. How to Find the LCM of 769 and 774?

Answer:

Least Common Multiple of 769 and 774 = 595206

Step 1: Find the prime factorization of 769

769 = 769

Step 2: Find the prime factorization of 774

774 = 2 x 3 x 3 x 43

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

LCM = 595206 = 2 x 3 x 3 x 43 x 769

Step 4: Therefore, the least common multiple of 769 and 774 is 595206.