Least Common Multiple of 1785 and 1787

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1785 and 1787 the smallest integer that is 3189795 that is divisible by both numbers.

Least Common Multiple (LCM) of 1785 and 1787 is 3189795.

LCM(1785,1787) = 3189795

LCM of 1785 and 1787

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

LCM of:
and

Least Common Multiple of 1785 and 1787

LCM of 1785 and 1787 is 3189795

Least common multiple can be found by multiplying the highest exponent prime factors of 1785 and 1787. First we will calculate the prime factors of 1785 and 1787.

Prime Factorization of 1785


3 1785
5 595
7 119
17 17
1

Prime factors of 1785 are 3, 5, 7,17. Prime factorization of 1785 in exponential form is:

1785 = 31×51×71×171

Prime Factorization of 1787


1787 1787
1

Prime factors of 1787 are 1787. Prime factorization of 1787 in exponential form is:

1787 = 17871

Now multiplying the highest exponent prime factors to calculate the LCM of 1785 and 1787.

LCM(1785,1787) = 31×51×71×171×17871
LCM(1785,1787) = 3189795

Factors of 1785

List of positive integer factors of 1785 that divides 1785 without a remainder.

1, 3, 5, 7, 15, 17, 21, 35, 51, 85, 105, 119, 255, 357, 595, 1785

Factors of 1787

List of positive integer factors of 1787 that divides 1787 without a remainder.

1, 1787

Least Common Multiple of 1785 and 1787 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1785 and 1787, than apply into the LCM equation.

GCF(1785,1787) = 1
LCM(1785,1787) = ( 1785 × 1787) / 1
LCM(1785,1787) = 3189795 / 1
LCM(1785,1787) = 3189795

Properties of LCM 1785 and 1787

(i) The LCM of 1787 and 1785 is associative

LCM of 1785 and 1787 = LCM of 1787 and 1785

Related Least Common Multiples of 1785

Related Least Common Multiples of 1787

Frequently Asked Questions on LCM of 1785 and 1787

1. What is the LCM of 1785 and 1787?

Answer: LCM of 1785 and 1787 is 3189795.

2. What are the Factors of 1785?

Answer: Factors of 1785 are 1, 3, 5, 7, 15, 17, 21, 35, 51, 85, 105, 119, 255, 357, 595, 1785. There are 16 integers that are factors of 1785. The greatest factor of 1785 is 1785.

3. What are the Factors of 1787?

Answer: Factors of 1787 are 1, 1787. There are 2 integers that are factors of 1787. The greatest factor of 1787 is 1787.

4. How to Find the LCM of 1785 and 1787?

Answer:

Least Common Multiple of 1785 and 1787 = 3189795

Step 1: Find the prime factorization of 1785

1785 = 3 x 5 x 7 x 17

Step 2: Find the prime factorization of 1787

1787 = 1787

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

LCM = 3189795 = 3 x 5 x 7 x 17 x 1787

Step 4: Therefore, the least common multiple of 1785 and 1787 is 3189795.