Least Common Multiple of 1766 and 1774

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 1774 the smallest integer that is 1566442 that is divisible by both numbers.

Least Common Multiple (LCM) of 1766 and 1774 is 1566442.

LCM(1766,1774) = 1566442

LCM of 1766 and 1774

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

LCM of:
and

Least Common Multiple of 1766 and 1774

LCM of 1766 and 1774 is 1566442

Least common multiple can be found by multiplying the highest exponent prime factors of 1766 and 1774. First we will calculate the prime factors of 1766 and 1774.

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 1774


2 1774
887 887
1

Prime factors of 1774 are 2,887. Prime factorization of 1774 in exponential form is:

1774 = 21×8871

Now multiplying the highest exponent prime factors to calculate the LCM of 1766 and 1774.

LCM(1766,1774) = 21×8831×8871
LCM(1766,1774) = 1566442

Factors of 1766

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

1, 2, 883, 1766

Factors of 1774

List of positive integer factors of 1774 that divides 1774 without a remainder.

1, 2, 887, 1774

Least Common Multiple of 1766 and 1774 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 1774, than apply into the LCM equation.

GCF(1766,1774) = 2
LCM(1766,1774) = ( 1766 × 1774) / 2
LCM(1766,1774) = 3132884 / 2
LCM(1766,1774) = 1566442

Properties of LCM 1766 and 1774

(i) The LCM of 1774 and 1766 is associative

LCM of 1766 and 1774 = LCM of 1774 and 1766

Related Least Common Multiples of 1766

Related Least Common Multiples of 1774

Frequently Asked Questions on LCM of 1766 and 1774

1. What is the LCM of 1766 and 1774?

Answer: LCM of 1766 and 1774 is 1566442.

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 1774?

Answer: Factors of 1774 are 1, 2, 887, 1774. There are 4 integers that are factors of 1774. The greatest factor of 1774 is 1774.

4. How to Find the LCM of 1766 and 1774?

Answer:

Least Common Multiple of 1766 and 1774 = 1566442

Step 1: Find the prime factorization of 1766

1766 = 2 x 883

Step 2: Find the prime factorization of 1774

1774 = 2 x 887

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

LCM = 1566442 = 2 x 883 x 887

Step 4: Therefore, the least common multiple of 1766 and 1774 is 1566442.