Least Common Multiple of 1775 and 1779

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1775 and 1779 the smallest integer that is 3157725 that is divisible by both numbers.

Least Common Multiple (LCM) of 1775 and 1779 is 3157725.

LCM(1775,1779) = 3157725

LCM of 1775 and 1779

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

LCM of:
and

Least Common Multiple of 1775 and 1779

LCM of 1775 and 1779 is 3157725

Least common multiple can be found by multiplying the highest exponent prime factors of 1775 and 1779. First we will calculate the prime factors of 1775 and 1779.

Prime Factorization of 1775


5 1775
5 355
71 71
1

Prime factors of 1775 are 5,71. Prime factorization of 1775 in exponential form is:

1775 = 52×711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1775 and 1779.

LCM(1775,1779) = 31×52×711×5931
LCM(1775,1779) = 3157725

Factors of 1775

List of positive integer factors of 1775 that divides 1775 without a remainder.

1, 5, 25, 71, 355, 1775

Factors of 1779

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

1, 3, 593, 1779

Least Common Multiple of 1775 and 1779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1775 and 1779, than apply into the LCM equation.

GCF(1775,1779) = 1
LCM(1775,1779) = ( 1775 × 1779) / 1
LCM(1775,1779) = 3157725 / 1
LCM(1775,1779) = 3157725

Properties of LCM 1775 and 1779

(i) The LCM of 1779 and 1775 is associative

LCM of 1775 and 1779 = LCM of 1779 and 1775

Related Least Common Multiples of 1775

Related Least Common Multiples of 1779

Frequently Asked Questions on LCM of 1775 and 1779

1. What is the LCM of 1775 and 1779?

Answer: LCM of 1775 and 1779 is 3157725.

2. What are the Factors of 1775?

Answer: Factors of 1775 are 1, 5, 25, 71, 355, 1775. There are 6 integers that are factors of 1775. The greatest factor of 1775 is 1775.

3. 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.

4. How to Find the LCM of 1775 and 1779?

Answer:

Least Common Multiple of 1775 and 1779 = 3157725

Step 1: Find the prime factorization of 1775

1775 = 5 x 5 x 71

Step 2: Find the prime factorization of 1779

1779 = 3 x 593

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

LCM = 3157725 = 3 x 5 x 5 x 71 x 593

Step 4: Therefore, the least common multiple of 1775 and 1779 is 3157725.