Least Common Multiple of 1766 and 1773

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1766 and 1773 the smallest integer that is 3131118 that is divisible by both numbers.

Least Common Multiple (LCM) of 1766 and 1773 is 3131118.

LCM(1766,1773) = 3131118

LCM of 1766 and 1773

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

LCM of:
and

Least Common Multiple of 1766 and 1773

LCM of 1766 and 1773 is 3131118

Least common multiple can be found by multiplying the highest exponent prime factors of 1766 and 1773. First we will calculate the prime factors of 1766 and 1773.

Prime Factorization of 1766


2 1766
883 883
1

Prime factors of 1766 are 2,883. Prime factorization of 1766 in exponential form is:

1766 = 21×8831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1766 and 1773.

LCM(1766,1773) = 21×32×1971×8831
LCM(1766,1773) = 3131118

Factors of 1766

List of positive integer factors of 1766 that divides 1766 without a remainder.

1, 2, 883, 1766

Factors of 1773

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

1, 3, 9, 197, 591, 1773

Least Common Multiple of 1766 and 1773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1766 and 1773, than apply into the LCM equation.

GCF(1766,1773) = 1
LCM(1766,1773) = ( 1766 × 1773) / 1
LCM(1766,1773) = 3131118 / 1
LCM(1766,1773) = 3131118

Properties of LCM 1766 and 1773

(i) The LCM of 1773 and 1766 is associative

LCM of 1766 and 1773 = LCM of 1773 and 1766

Related Least Common Multiples of 1766

Related Least Common Multiples of 1773

Frequently Asked Questions on LCM of 1766 and 1773

1. What is the LCM of 1766 and 1773?

Answer: LCM of 1766 and 1773 is 3131118.

2. What are the Factors of 1766?

Answer: Factors of 1766 are 1, 2, 883, 1766. There are 4 integers that are factors of 1766. The greatest factor of 1766 is 1766.

3. 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.

4. How to Find the LCM of 1766 and 1773?

Answer:

Least Common Multiple of 1766 and 1773 = 3131118

Step 1: Find the prime factorization of 1766

1766 = 2 x 883

Step 2: Find the prime factorization of 1773

1773 = 3 x 3 x 197

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

LCM = 3131118 = 2 x 3 x 3 x 197 x 883

Step 4: Therefore, the least common multiple of 1766 and 1773 is 3131118.