Least Common Multiple of 1770 and 1776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1770 and 1776 the smallest integer that is 523920 that is divisible by both numbers.

Least Common Multiple (LCM) of 1770 and 1776 is 523920.

LCM(1770,1776) = 523920

LCM of 1770 and 1776

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

LCM of:
and

Least Common Multiple of 1770 and 1776

LCM of 1770 and 1776 is 523920

Least common multiple can be found by multiplying the highest exponent prime factors of 1770 and 1776. First we will calculate the prime factors of 1770 and 1776.

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

Prime Factorization of 1776


2 1776
2 888
2 444
2 222
3 111
37 37
1

Prime factors of 1776 are 2, 3,37. Prime factorization of 1776 in exponential form is:

1776 = 24×31×371

Now multiplying the highest exponent prime factors to calculate the LCM of 1770 and 1776.

LCM(1770,1776) = 24×31×51×371×591
LCM(1770,1776) = 523920

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

Factors of 1776

List of positive integer factors of 1776 that divides 1776 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 37, 48, 74, 111, 148, 222, 296, 444, 592, 888, 1776

Least Common Multiple of 1770 and 1776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1770 and 1776, than apply into the LCM equation.

GCF(1770,1776) = 6
LCM(1770,1776) = ( 1770 × 1776) / 6
LCM(1770,1776) = 3143520 / 6
LCM(1770,1776) = 523920

Properties of LCM 1770 and 1776

(i) The LCM of 1776 and 1770 is associative

LCM of 1770 and 1776 = LCM of 1776 and 1770

Related Least Common Multiples of 1770

Related Least Common Multiples of 1776

Frequently Asked Questions on LCM of 1770 and 1776

1. What is the LCM of 1770 and 1776?

Answer: LCM of 1770 and 1776 is 523920.

2. 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.

3. What are the Factors of 1776?

Answer: Factors of 1776 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 37, 48, 74, 111, 148, 222, 296, 444, 592, 888, 1776. There are 20 integers that are factors of 1776. The greatest factor of 1776 is 1776.

4. How to Find the LCM of 1770 and 1776?

Answer:

Least Common Multiple of 1770 and 1776 = 523920

Step 1: Find the prime factorization of 1770

1770 = 2 x 3 x 5 x 59

Step 2: Find the prime factorization of 1776

1776 = 2 x 2 x 2 x 2 x 3 x 37

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

LCM = 523920 = 2 x 2 x 2 x 2 x 3 x 5 x 37 x 59

Step 4: Therefore, the least common multiple of 1770 and 1776 is 523920.