Least Common Multiple of 778 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 778 and 782 the smallest integer that is 304198 that is divisible by both numbers.

Least Common Multiple (LCM) of 778 and 782 is 304198.

LCM(778,782) = 304198

LCM of 778 and 782

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

LCM of:
and

Least Common Multiple of 778 and 782

LCM of 778 and 782 is 304198

Least common multiple can be found by multiplying the highest exponent prime factors of 778 and 782. First we will calculate the prime factors of 778 and 782.

Prime Factorization of 778


2 778
389 389
1

Prime factors of 778 are 2,389. Prime factorization of 778 in exponential form is:

778 = 21×3891

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 778 and 782.

LCM(778,782) = 21×171×231×3891
LCM(778,782) = 304198

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1, 2, 389, 778

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 778 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 778 and 782, than apply into the LCM equation.

GCF(778,782) = 2
LCM(778,782) = ( 778 × 782) / 2
LCM(778,782) = 608396 / 2
LCM(778,782) = 304198

Properties of LCM 778 and 782

(i) The LCM of 782 and 778 is associative

LCM of 778 and 782 = LCM of 782 and 778

Related Least Common Multiples of 778

Related Least Common Multiples of 782

Frequently Asked Questions on LCM of 778 and 782

1. What is the LCM of 778 and 782?

Answer: LCM of 778 and 782 is 304198.

2. What are the Factors of 778?

Answer: Factors of 778 are 1, 2, 389, 778. There are 4 integers that are factors of 778. The greatest factor of 778 is 778.

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 778 and 782?

Answer:

Least Common Multiple of 778 and 782 = 304198

Step 1: Find the prime factorization of 778

778 = 2 x 389

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 = 304198 = 2 x 17 x 23 x 389

Step 4: Therefore, the least common multiple of 778 and 782 is 304198.