Least Common Multiple of 778 and 786

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 786 the smallest integer that is 305754 that is divisible by both numbers.

Least Common Multiple (LCM) of 778 and 786 is 305754.

LCM(778,786) = 305754

LCM of 778 and 786

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

LCM of:
and

Least Common Multiple of 778 and 786

LCM of 778 and 786 is 305754

Least common multiple can be found by multiplying the highest exponent prime factors of 778 and 786. First we will calculate the prime factors of 778 and 786.

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 786


2 786
3 393
131 131
1

Prime factors of 786 are 2, 3,131. Prime factorization of 786 in exponential form is:

786 = 21×31×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 778 and 786.

LCM(778,786) = 21×31×1311×3891
LCM(778,786) = 305754

Factors of 778

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

1, 2, 389, 778

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Least Common Multiple of 778 and 786 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 786, than apply into the LCM equation.

GCF(778,786) = 2
LCM(778,786) = ( 778 × 786) / 2
LCM(778,786) = 611508 / 2
LCM(778,786) = 305754

Properties of LCM 778 and 786

(i) The LCM of 786 and 778 is associative

LCM of 778 and 786 = LCM of 786 and 778

Related Least Common Multiples of 778

Related Least Common Multiples of 786

Frequently Asked Questions on LCM of 778 and 786

1. What is the LCM of 778 and 786?

Answer: LCM of 778 and 786 is 305754.

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 786?

Answer: Factors of 786 are 1, 2, 3, 6, 131, 262, 393, 786. There are 8 integers that are factors of 786. The greatest factor of 786 is 786.

4. How to Find the LCM of 778 and 786?

Answer:

Least Common Multiple of 778 and 786 = 305754

Step 1: Find the prime factorization of 778

778 = 2 x 389

Step 2: Find the prime factorization of 786

786 = 2 x 3 x 131

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

LCM = 305754 = 2 x 3 x 131 x 389

Step 4: Therefore, the least common multiple of 778 and 786 is 305754.