Least Common Multiple of 776 and 782

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 782 the smallest integer that is 303416 that is divisible by both numbers.

Least Common Multiple (LCM) of 776 and 782 is 303416.

LCM(776,782) = 303416

LCM of 776 and 782

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

LCM of:
and

Least Common Multiple of 776 and 782

LCM of 776 and 782 is 303416

Least common multiple can be found by multiplying the highest exponent prime factors of 776 and 782. First we will calculate the prime factors of 776 and 782.

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 782


2 782
17 391
23 23
1

Prime factors of 782 are 2, 17,23. Prime factorization of 782 in exponential form is:

782 = 21×171×231

Now multiplying the highest exponent prime factors to calculate the LCM of 776 and 782.

LCM(776,782) = 23×171×231×971
LCM(776,782) = 303416

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 782

List of positive integer factors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Least Common Multiple of 776 and 782 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 782, than apply into the LCM equation.

GCF(776,782) = 2
LCM(776,782) = ( 776 × 782) / 2
LCM(776,782) = 606832 / 2
LCM(776,782) = 303416

Properties of LCM 776 and 782

(i) The LCM of 782 and 776 is associative

LCM of 776 and 782 = LCM of 782 and 776

Related Least Common Multiples of 776

Related Least Common Multiples of 782

Frequently Asked Questions on LCM of 776 and 782

1. What is the LCM of 776 and 782?

Answer: LCM of 776 and 782 is 303416.

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 782?

Answer: Factors of 782 are 1, 2, 17, 23, 34, 46, 391, 782. There are 8 integers that are factors of 782. The greatest factor of 782 is 782.

4. How to Find the LCM of 776 and 782?

Answer:

Least Common Multiple of 776 and 782 = 303416

Step 1: Find the prime factorization of 776

776 = 2 x 2 x 2 x 97

Step 2: Find the prime factorization of 782

782 = 2 x 17 x 23

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

LCM = 303416 = 2 x 2 x 2 x 17 x 23 x 97

Step 4: Therefore, the least common multiple of 776 and 782 is 303416.