Least Common Multiple of 1780 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 1780 and 1785 the smallest integer that is 635460 that is divisible by both numbers.

Least Common Multiple (LCM) of 1780 and 1785 is 635460.

LCM(1780,1785) = 635460

LCM of 1780 and 1785

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

LCM of:
and

Least Common Multiple of 1780 and 1785

LCM of 1780 and 1785 is 635460

Least common multiple can be found by multiplying the highest exponent prime factors of 1780 and 1785. First we will calculate the prime factors of 1780 and 1785.

Prime Factorization of 1780


2 1780
2 890
5 445
89 89
1

Prime factors of 1780 are 2, 5,89. Prime factorization of 1780 in exponential form is:

1780 = 22×51×891

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 1780 and 1785.

LCM(1780,1785) = 22×31×51×71×171×891
LCM(1780,1785) = 635460

Factors of 1780

List of positive integer factors of 1780 that divides 1780 without a remainder.

1, 2, 4, 5, 10, 20, 89, 178, 356, 445, 890, 1780

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 1780 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 1780 and 1785, than apply into the LCM equation.

GCF(1780,1785) = 5
LCM(1780,1785) = ( 1780 × 1785) / 5
LCM(1780,1785) = 3177300 / 5
LCM(1780,1785) = 635460

Properties of LCM 1780 and 1785

(i) The LCM of 1785 and 1780 is associative

LCM of 1780 and 1785 = LCM of 1785 and 1780

Related Least Common Multiples of 1780

Related Least Common Multiples of 1785

Frequently Asked Questions on LCM of 1780 and 1785

1. What is the LCM of 1780 and 1785?

Answer: LCM of 1780 and 1785 is 635460.

2. What are the Factors of 1780?

Answer: Factors of 1780 are 1, 2, 4, 5, 10, 20, 89, 178, 356, 445, 890, 1780. There are 12 integers that are factors of 1780. The greatest factor of 1780 is 1780.

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 1780 and 1785?

Answer:

Least Common Multiple of 1780 and 1785 = 635460

Step 1: Find the prime factorization of 1780

1780 = 2 x 2 x 5 x 89

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 = 635460 = 2 x 2 x 3 x 5 x 7 x 17 x 89

Step 4: Therefore, the least common multiple of 1780 and 1785 is 635460.