Least Common Multiple of 1766 and 1770

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 1770 the smallest integer that is 1562910 that is divisible by both numbers.

Least Common Multiple (LCM) of 1766 and 1770 is 1562910.

LCM(1766,1770) = 1562910

LCM of 1766 and 1770

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

LCM of:
and

Least Common Multiple of 1766 and 1770

LCM of 1766 and 1770 is 1562910

Least common multiple can be found by multiplying the highest exponent prime factors of 1766 and 1770. First we will calculate the prime factors of 1766 and 1770.

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 1770


2 1770
3 885
5 295
59 59
1

Prime factors of 1770 are 2, 3, 5,59. Prime factorization of 1770 in exponential form is:

1770 = 21×31×51×591

Now multiplying the highest exponent prime factors to calculate the LCM of 1766 and 1770.

LCM(1766,1770) = 21×31×51×591×8831
LCM(1766,1770) = 1562910

Factors of 1766

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

1, 2, 883, 1766

Factors of 1770

List of positive integer factors of 1770 that divides 1770 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 59, 118, 177, 295, 354, 590, 885, 1770

Least Common Multiple of 1766 and 1770 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 1770, than apply into the LCM equation.

GCF(1766,1770) = 2
LCM(1766,1770) = ( 1766 × 1770) / 2
LCM(1766,1770) = 3125820 / 2
LCM(1766,1770) = 1562910

Properties of LCM 1766 and 1770

(i) The LCM of 1770 and 1766 is associative

LCM of 1766 and 1770 = LCM of 1770 and 1766

Related Least Common Multiples of 1766

Related Least Common Multiples of 1770

Frequently Asked Questions on LCM of 1766 and 1770

1. What is the LCM of 1766 and 1770?

Answer: LCM of 1766 and 1770 is 1562910.

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 1770?

Answer: Factors of 1770 are 1, 2, 3, 5, 6, 10, 15, 30, 59, 118, 177, 295, 354, 590, 885, 1770. There are 16 integers that are factors of 1770. The greatest factor of 1770 is 1770.

4. How to Find the LCM of 1766 and 1770?

Answer:

Least Common Multiple of 1766 and 1770 = 1562910

Step 1: Find the prime factorization of 1766

1766 = 2 x 883

Step 2: Find the prime factorization of 1770

1770 = 2 x 3 x 5 x 59

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

LCM = 1562910 = 2 x 3 x 5 x 59 x 883

Step 4: Therefore, the least common multiple of 1766 and 1770 is 1562910.