Least Common Multiple of 769 and 773

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 773 the smallest integer that is 594437 that is divisible by both numbers.

Least Common Multiple (LCM) of 769 and 773 is 594437.

LCM(769,773) = 594437

LCM of 769 and 773

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

LCM of:
and

Least Common Multiple of 769 and 773

LCM of 769 and 773 is 594437

Least common multiple can be found by multiplying the highest exponent prime factors of 769 and 773. First we will calculate the prime factors of 769 and 773.

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 773


773 773
1

Prime factors of 773 are 773. Prime factorization of 773 in exponential form is:

773 = 7731

Now multiplying the highest exponent prime factors to calculate the LCM of 769 and 773.

LCM(769,773) = 7691×7731
LCM(769,773) = 594437

Factors of 769

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

1, 769

Factors of 773

List of positive integer factors of 773 that divides 773 without a remainder.

1, 773

Least Common Multiple of 769 and 773 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 773, than apply into the LCM equation.

GCF(769,773) = 1
LCM(769,773) = ( 769 × 773) / 1
LCM(769,773) = 594437 / 1
LCM(769,773) = 594437

Properties of LCM 769 and 773

(i) The LCM of 773 and 769 is associative

LCM of 769 and 773 = LCM of 773 and 769

Related Least Common Multiples of 769

Related Least Common Multiples of 773

Frequently Asked Questions on LCM of 769 and 773

1. What is the LCM of 769 and 773?

Answer: LCM of 769 and 773 is 594437.

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 773?

Answer: Factors of 773 are 1, 773. There are 2 integers that are factors of 773. The greatest factor of 773 is 773.

4. How to Find the LCM of 769 and 773?

Answer:

Least Common Multiple of 769 and 773 = 594437

Step 1: Find the prime factorization of 769

769 = 769

Step 2: Find the prime factorization of 773

773 = 773

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

LCM = 594437 = 769 x 773

Step 4: Therefore, the least common multiple of 769 and 773 is 594437.