Least Common Multiple of 1777 and 1785

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1777 and 1785 the smallest integer that is 3171945 that is divisible by both numbers.

Least Common Multiple (LCM) of 1777 and 1785 is 3171945.

LCM(1777,1785) = 3171945

LCM of 1777 and 1785

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

LCM of:
and

Least Common Multiple of 1777 and 1785

LCM of 1777 and 1785 is 3171945

Least common multiple can be found by multiplying the highest exponent prime factors of 1777 and 1785. First we will calculate the prime factors of 1777 and 1785.

Prime Factorization of 1777


1777 1777
1

Prime factors of 1777 are 1777. Prime factorization of 1777 in exponential form is:

1777 = 17771

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1777 and 1785.

LCM(1777,1785) = 31×51×71×171×17771
LCM(1777,1785) = 3171945

Factors of 1777

List of positive integer factors of 1777 that divides 1777 without a remainder.

1, 1777

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

Least Common Multiple of 1777 and 1785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1777 and 1785, than apply into the LCM equation.

GCF(1777,1785) = 1
LCM(1777,1785) = ( 1777 × 1785) / 1
LCM(1777,1785) = 3171945 / 1
LCM(1777,1785) = 3171945

Properties of LCM 1777 and 1785

(i) The LCM of 1785 and 1777 is associative

LCM of 1777 and 1785 = LCM of 1785 and 1777

Related Least Common Multiples of 1777

Related Least Common Multiples of 1785

Frequently Asked Questions on LCM of 1777 and 1785

1. What is the LCM of 1777 and 1785?

Answer: LCM of 1777 and 1785 is 3171945.

2. What are the Factors of 1777?

Answer: Factors of 1777 are 1, 1777. There are 2 integers that are factors of 1777. The greatest factor of 1777 is 1777.

3. 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.

4. How to Find the LCM of 1777 and 1785?

Answer:

Least Common Multiple of 1777 and 1785 = 3171945

Step 1: Find the prime factorization of 1777

1777 = 1777

Step 2: Find the prime factorization of 1785

1785 = 3 x 5 x 7 x 17

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

LCM = 3171945 = 3 x 5 x 7 x 17 x 1777

Step 4: Therefore, the least common multiple of 1777 and 1785 is 3171945.