Least Common Multiple of 785 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 785 and 786 the smallest integer that is 617010 that is divisible by both numbers.

Least Common Multiple (LCM) of 785 and 786 is 617010.

LCM(785,786) = 617010

LCM of 785 and 786

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

LCM of:
and

Least Common Multiple of 785 and 786

LCM of 785 and 786 is 617010

Least common multiple can be found by multiplying the highest exponent prime factors of 785 and 786. First we will calculate the prime factors of 785 and 786.

Prime Factorization of 785


5 785
157 157
1

Prime factors of 785 are 5,157. Prime factorization of 785 in exponential form is:

785 = 51×1571

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 785 and 786.

LCM(785,786) = 21×31×51×1311×1571
LCM(785,786) = 617010

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1, 5, 157, 785

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 785 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 785 and 786, than apply into the LCM equation.

GCF(785,786) = 1
LCM(785,786) = ( 785 × 786) / 1
LCM(785,786) = 617010 / 1
LCM(785,786) = 617010

Properties of LCM 785 and 786

(i) The LCM of 786 and 785 is associative

LCM of 785 and 786 = LCM of 786 and 785

Related Least Common Multiples of 785

Related Least Common Multiples of 786

Frequently Asked Questions on LCM of 785 and 786

1. What is the LCM of 785 and 786?

Answer: LCM of 785 and 786 is 617010.

2. What are the Factors of 785?

Answer: Factors of 785 are 1, 5, 157, 785. There are 4 integers that are factors of 785. The greatest factor of 785 is 785.

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 785 and 786?

Answer:

Least Common Multiple of 785 and 786 = 617010

Step 1: Find the prime factorization of 785

785 = 5 x 157

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 = 617010 = 2 x 3 x 5 x 131 x 157

Step 4: Therefore, the least common multiple of 785 and 786 is 617010.