Least Common Multiple of 773 and 779

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 773 and 779 the smallest integer that is 602167 that is divisible by both numbers.

Least Common Multiple (LCM) of 773 and 779 is 602167.

LCM(773,779) = 602167

LCM of 773 and 779

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

LCM of:
and

Least Common Multiple of 773 and 779

LCM of 773 and 779 is 602167

Least common multiple can be found by multiplying the highest exponent prime factors of 773 and 779. First we will calculate the prime factors of 773 and 779.

Prime Factorization of 773


773 773
1

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

773 = 7731

Prime Factorization of 779


19 779
41 41
1

Prime factors of 779 are 19,41. Prime factorization of 779 in exponential form is:

779 = 191×411

Now multiplying the highest exponent prime factors to calculate the LCM of 773 and 779.

LCM(773,779) = 191×411×7731
LCM(773,779) = 602167

Factors of 773

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

1, 773

Factors of 779

List of positive integer factors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Least Common Multiple of 773 and 779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 773 and 779, than apply into the LCM equation.

GCF(773,779) = 1
LCM(773,779) = ( 773 × 779) / 1
LCM(773,779) = 602167 / 1
LCM(773,779) = 602167

Properties of LCM 773 and 779

(i) The LCM of 779 and 773 is associative

LCM of 773 and 779 = LCM of 779 and 773

Related Least Common Multiples of 773

Related Least Common Multiples of 779

Frequently Asked Questions on LCM of 773 and 779

1. What is the LCM of 773 and 779?

Answer: LCM of 773 and 779 is 602167.

2. 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.

3. What are the Factors of 779?

Answer: Factors of 779 are 1, 19, 41, 779. There are 4 integers that are factors of 779. The greatest factor of 779 is 779.

4. How to Find the LCM of 773 and 779?

Answer:

Least Common Multiple of 773 and 779 = 602167

Step 1: Find the prime factorization of 773

773 = 773

Step 2: Find the prime factorization of 779

779 = 19 x 41

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

LCM = 602167 = 19 x 41 x 773

Step 4: Therefore, the least common multiple of 773 and 779 is 602167.