Least Common Multiple of 1766 and 1771

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 1771 the smallest integer that is 3127586 that is divisible by both numbers.

Least Common Multiple (LCM) of 1766 and 1771 is 3127586.

LCM(1766,1771) = 3127586

LCM of 1766 and 1771

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

LCM of:
and

Least Common Multiple of 1766 and 1771

LCM of 1766 and 1771 is 3127586

Least common multiple can be found by multiplying the highest exponent prime factors of 1766 and 1771. First we will calculate the prime factors of 1766 and 1771.

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 1771


7 1771
11 253
23 23
1

Prime factors of 1771 are 7, 11,23. Prime factorization of 1771 in exponential form is:

1771 = 71×111×231

Now multiplying the highest exponent prime factors to calculate the LCM of 1766 and 1771.

LCM(1766,1771) = 21×71×111×231×8831
LCM(1766,1771) = 3127586

Factors of 1766

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

1, 2, 883, 1766

Factors of 1771

List of positive integer factors of 1771 that divides 1771 without a remainder.

1, 7, 11, 23, 77, 161, 253, 1771

Least Common Multiple of 1766 and 1771 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 1771, than apply into the LCM equation.

GCF(1766,1771) = 1
LCM(1766,1771) = ( 1766 × 1771) / 1
LCM(1766,1771) = 3127586 / 1
LCM(1766,1771) = 3127586

Properties of LCM 1766 and 1771

(i) The LCM of 1771 and 1766 is associative

LCM of 1766 and 1771 = LCM of 1771 and 1766

Related Least Common Multiples of 1766

Related Least Common Multiples of 1771

Frequently Asked Questions on LCM of 1766 and 1771

1. What is the LCM of 1766 and 1771?

Answer: LCM of 1766 and 1771 is 3127586.

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 1771?

Answer: Factors of 1771 are 1, 7, 11, 23, 77, 161, 253, 1771. There are 8 integers that are factors of 1771. The greatest factor of 1771 is 1771.

4. How to Find the LCM of 1766 and 1771?

Answer:

Least Common Multiple of 1766 and 1771 = 3127586

Step 1: Find the prime factorization of 1766

1766 = 2 x 883

Step 2: Find the prime factorization of 1771

1771 = 7 x 11 x 23

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

LCM = 3127586 = 2 x 7 x 11 x 23 x 883

Step 4: Therefore, the least common multiple of 1766 and 1771 is 3127586.