Least Common Multiple of 1773 and 1775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1773 and 1775 the smallest integer that is 3147075 that is divisible by both numbers.

Least Common Multiple (LCM) of 1773 and 1775 is 3147075.

LCM(1773,1775) = 3147075

LCM of 1773 and 1775

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

LCM of:
and

Least Common Multiple of 1773 and 1775

LCM of 1773 and 1775 is 3147075

Least common multiple can be found by multiplying the highest exponent prime factors of 1773 and 1775. First we will calculate the prime factors of 1773 and 1775.

Prime Factorization of 1773


3 1773
3 591
197 197
1

Prime factors of 1773 are 3,197. Prime factorization of 1773 in exponential form is:

1773 = 32×1971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1773 and 1775.

LCM(1773,1775) = 32×52×711×1971
LCM(1773,1775) = 3147075

Factors of 1773

List of positive integer factors of 1773 that divides 1773 without a remainder.

1, 3, 9, 197, 591, 1773

Factors of 1775

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

1, 5, 25, 71, 355, 1775

Least Common Multiple of 1773 and 1775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1773 and 1775, than apply into the LCM equation.

GCF(1773,1775) = 1
LCM(1773,1775) = ( 1773 × 1775) / 1
LCM(1773,1775) = 3147075 / 1
LCM(1773,1775) = 3147075

Properties of LCM 1773 and 1775

(i) The LCM of 1775 and 1773 is associative

LCM of 1773 and 1775 = LCM of 1775 and 1773

Related Least Common Multiples of 1773

Related Least Common Multiples of 1775

Frequently Asked Questions on LCM of 1773 and 1775

1. What is the LCM of 1773 and 1775?

Answer: LCM of 1773 and 1775 is 3147075.

2. What are the Factors of 1773?

Answer: Factors of 1773 are 1, 3, 9, 197, 591, 1773. There are 6 integers that are factors of 1773. The greatest factor of 1773 is 1773.

3. 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.

4. How to Find the LCM of 1773 and 1775?

Answer:

Least Common Multiple of 1773 and 1775 = 3147075

Step 1: Find the prime factorization of 1773

1773 = 3 x 3 x 197

Step 2: Find the prime factorization of 1775

1775 = 5 x 5 x 71

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

LCM = 3147075 = 3 x 3 x 5 x 5 x 71 x 197

Step 4: Therefore, the least common multiple of 1773 and 1775 is 3147075.