Least Common Multiple of 776 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 776 and 779 the smallest integer that is 604504 that is divisible by both numbers.

Least Common Multiple (LCM) of 776 and 779 is 604504.

LCM(776,779) = 604504

LCM of 776 and 779

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

LCM of:
and

Least Common Multiple of 776 and 779

LCM of 776 and 779 is 604504

Least common multiple can be found by multiplying the highest exponent prime factors of 776 and 779. First we will calculate the prime factors of 776 and 779.

Prime Factorization of 776


2 776
2 388
2 194
97 97
1

Prime factors of 776 are 2,97. Prime factorization of 776 in exponential form is:

776 = 23×971

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 776 and 779.

LCM(776,779) = 23×191×411×971
LCM(776,779) = 604504

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Factors of 779

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

1, 19, 41, 779

Least Common Multiple of 776 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 776 and 779, than apply into the LCM equation.

GCF(776,779) = 1
LCM(776,779) = ( 776 × 779) / 1
LCM(776,779) = 604504 / 1
LCM(776,779) = 604504

Properties of LCM 776 and 779

(i) The LCM of 779 and 776 is associative

LCM of 776 and 779 = LCM of 779 and 776

Frequently Asked Questions on LCM of 776 and 779

1. What is the LCM of 776 and 779?

Answer: LCM of 776 and 779 is 604504.

2. What are the Factors of 776?

Answer: Factors of 776 are 1, 2, 4, 8, 97, 194, 388, 776. There are 8 integers that are factors of 776. The greatest factor of 776 is 776.

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 776 and 779?

Answer:

Least Common Multiple of 776 and 779 = 604504

Step 1: Find the prime factorization of 776

776 = 2 x 2 x 2 x 97

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 = 604504 = 2 x 2 x 2 x 19 x 41 x 97

Step 4: Therefore, the least common multiple of 776 and 779 is 604504.