Least Common Multiple of 1766 and 1772

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 1772 the smallest integer that is 1564676 that is divisible by both numbers.

Least Common Multiple (LCM) of 1766 and 1772 is 1564676.

LCM(1766,1772) = 1564676

LCM of 1766 and 1772

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

LCM of:
and

Least Common Multiple of 1766 and 1772

LCM of 1766 and 1772 is 1564676

Least common multiple can be found by multiplying the highest exponent prime factors of 1766 and 1772. First we will calculate the prime factors of 1766 and 1772.

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 1772


2 1772
2 886
443 443
1

Prime factors of 1772 are 2,443. Prime factorization of 1772 in exponential form is:

1772 = 22×4431

Now multiplying the highest exponent prime factors to calculate the LCM of 1766 and 1772.

LCM(1766,1772) = 22×4431×8831
LCM(1766,1772) = 1564676

Factors of 1766

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

1, 2, 883, 1766

Factors of 1772

List of positive integer factors of 1772 that divides 1772 without a remainder.

1, 2, 4, 443, 886, 1772

Least Common Multiple of 1766 and 1772 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 1772, than apply into the LCM equation.

GCF(1766,1772) = 2
LCM(1766,1772) = ( 1766 × 1772) / 2
LCM(1766,1772) = 3129352 / 2
LCM(1766,1772) = 1564676

Properties of LCM 1766 and 1772

(i) The LCM of 1772 and 1766 is associative

LCM of 1766 and 1772 = LCM of 1772 and 1766

Related Least Common Multiples of 1766

Related Least Common Multiples of 1772

Frequently Asked Questions on LCM of 1766 and 1772

1. What is the LCM of 1766 and 1772?

Answer: LCM of 1766 and 1772 is 1564676.

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 1772?

Answer: Factors of 1772 are 1, 2, 4, 443, 886, 1772. There are 6 integers that are factors of 1772. The greatest factor of 1772 is 1772.

4. How to Find the LCM of 1766 and 1772?

Answer:

Least Common Multiple of 1766 and 1772 = 1564676

Step 1: Find the prime factorization of 1766

1766 = 2 x 883

Step 2: Find the prime factorization of 1772

1772 = 2 x 2 x 443

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

LCM = 1564676 = 2 x 2 x 443 x 883

Step 4: Therefore, the least common multiple of 1766 and 1772 is 1564676.