Least Common Multiple of 1779 and 1786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1779 and 1786 the smallest integer that is 3177294 that is divisible by both numbers.

Least Common Multiple (LCM) of 1779 and 1786 is 3177294.

LCM(1779,1786) = 3177294

LCM of 1779 and 1786

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

LCM of:
and

Least Common Multiple of 1779 and 1786

LCM of 1779 and 1786 is 3177294

Least common multiple can be found by multiplying the highest exponent prime factors of 1779 and 1786. First we will calculate the prime factors of 1779 and 1786.

Prime Factorization of 1779


3 1779
593 593
1

Prime factors of 1779 are 3,593. Prime factorization of 1779 in exponential form is:

1779 = 31×5931

Prime Factorization of 1786


2 1786
19 893
47 47
1

Prime factors of 1786 are 2, 19,47. Prime factorization of 1786 in exponential form is:

1786 = 21×191×471

Now multiplying the highest exponent prime factors to calculate the LCM of 1779 and 1786.

LCM(1779,1786) = 21×31×191×471×5931
LCM(1779,1786) = 3177294

Factors of 1779

List of positive integer factors of 1779 that divides 1779 without a remainder.

1, 3, 593, 1779

Factors of 1786

List of positive integer factors of 1786 that divides 1786 without a remainder.

1, 2, 19, 38, 47, 94, 893, 1786

Least Common Multiple of 1779 and 1786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1779 and 1786, than apply into the LCM equation.

GCF(1779,1786) = 1
LCM(1779,1786) = ( 1779 × 1786) / 1
LCM(1779,1786) = 3177294 / 1
LCM(1779,1786) = 3177294

Properties of LCM 1779 and 1786

(i) The LCM of 1786 and 1779 is associative

LCM of 1779 and 1786 = LCM of 1786 and 1779

Related Least Common Multiples of 1779

Related Least Common Multiples of 1786

Frequently Asked Questions on LCM of 1779 and 1786

1. What is the LCM of 1779 and 1786?

Answer: LCM of 1779 and 1786 is 3177294.

2. What are the Factors of 1779?

Answer: Factors of 1779 are 1, 3, 593, 1779. There are 4 integers that are factors of 1779. The greatest factor of 1779 is 1779.

3. What are the Factors of 1786?

Answer: Factors of 1786 are 1, 2, 19, 38, 47, 94, 893, 1786. There are 8 integers that are factors of 1786. The greatest factor of 1786 is 1786.

4. How to Find the LCM of 1779 and 1786?

Answer:

Least Common Multiple of 1779 and 1786 = 3177294

Step 1: Find the prime factorization of 1779

1779 = 3 x 593

Step 2: Find the prime factorization of 1786

1786 = 2 x 19 x 47

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

LCM = 3177294 = 2 x 3 x 19 x 47 x 593

Step 4: Therefore, the least common multiple of 1779 and 1786 is 3177294.