Least Common Multiple of 769 and 772

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 772 the smallest integer that is 593668 that is divisible by both numbers.

Least Common Multiple (LCM) of 769 and 772 is 593668.

LCM(769,772) = 593668

LCM of 769 and 772

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

LCM of:
and

Least Common Multiple of 769 and 772

LCM of 769 and 772 is 593668

Least common multiple can be found by multiplying the highest exponent prime factors of 769 and 772. First we will calculate the prime factors of 769 and 772.

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 772


2 772
2 386
193 193
1

Prime factors of 772 are 2,193. Prime factorization of 772 in exponential form is:

772 = 22×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 769 and 772.

LCM(769,772) = 22×1931×7691
LCM(769,772) = 593668

Factors of 769

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

1, 769

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Least Common Multiple of 769 and 772 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 772, than apply into the LCM equation.

GCF(769,772) = 1
LCM(769,772) = ( 769 × 772) / 1
LCM(769,772) = 593668 / 1
LCM(769,772) = 593668

Properties of LCM 769 and 772

(i) The LCM of 772 and 769 is associative

LCM of 769 and 772 = LCM of 772 and 769

Related Least Common Multiples of 769

Related Least Common Multiples of 772

Frequently Asked Questions on LCM of 769 and 772

1. What is the LCM of 769 and 772?

Answer: LCM of 769 and 772 is 593668.

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 772?

Answer: Factors of 772 are 1, 2, 4, 193, 386, 772. There are 6 integers that are factors of 772. The greatest factor of 772 is 772.

4. How to Find the LCM of 769 and 772?

Answer:

Least Common Multiple of 769 and 772 = 593668

Step 1: Find the prime factorization of 769

769 = 769

Step 2: Find the prime factorization of 772

772 = 2 x 2 x 193

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

LCM = 593668 = 2 x 2 x 193 x 769

Step 4: Therefore, the least common multiple of 769 and 772 is 593668.