Least Common Multiple of 774 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 774 and 782 the smallest integer that is 302634 that is divisible by both numbers.

Least Common Multiple (LCM) of 774 and 782 is 302634.

LCM(774,782) = 302634

LCM of 774 and 782

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

LCM of:
and

Least Common Multiple of 774 and 782

LCM of 774 and 782 is 302634

Least common multiple can be found by multiplying the highest exponent prime factors of 774 and 782. First we will calculate the prime factors of 774 and 782.

Prime Factorization of 774


2 774
3 387
3 129
43 43
1

Prime factors of 774 are 2, 3,43. Prime factorization of 774 in exponential form is:

774 = 21×32×431

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 774 and 782.

LCM(774,782) = 21×32×171×231×431
LCM(774,782) = 302634

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

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 774 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 774 and 782, than apply into the LCM equation.

GCF(774,782) = 2
LCM(774,782) = ( 774 × 782) / 2
LCM(774,782) = 605268 / 2
LCM(774,782) = 302634

Properties of LCM 774 and 782

(i) The LCM of 782 and 774 is associative

LCM of 774 and 782 = LCM of 782 and 774

Related Least Common Multiples of 774

Related Least Common Multiples of 782

Frequently Asked Questions on LCM of 774 and 782

1. What is the LCM of 774 and 782?

Answer: LCM of 774 and 782 is 302634.

2. What are the Factors of 774?

Answer: Factors of 774 are 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774. There are 12 integers that are factors of 774. The greatest factor of 774 is 774.

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 774 and 782?

Answer:

Least Common Multiple of 774 and 782 = 302634

Step 1: Find the prime factorization of 774

774 = 2 x 3 x 3 x 43

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 = 302634 = 2 x 3 x 3 x 17 x 23 x 43

Step 4: Therefore, the least common multiple of 774 and 782 is 302634.