Least Common Multiple of 1776 and 1779

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1776 and 1779 the smallest integer that is 1053168 that is divisible by both numbers.

Least Common Multiple (LCM) of 1776 and 1779 is 1053168.

LCM(1776,1779) = 1053168

LCM of 1776 and 1779

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

LCM of:
and

Least Common Multiple of 1776 and 1779

LCM of 1776 and 1779 is 1053168

Least common multiple can be found by multiplying the highest exponent prime factors of 1776 and 1779. First we will calculate the prime factors of 1776 and 1779.

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

Prime Factorization of 1779


3 1779
593 593
1

Prime factors of 1779 are 3,593. Prime factorization of 1779 in exponential form is:

1779 = 31×5931

Now multiplying the highest exponent prime factors to calculate the LCM of 1776 and 1779.

LCM(1776,1779) = 24×31×371×5931
LCM(1776,1779) = 1053168

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

Factors of 1779

List of positive integer factors of 1779 that divides 1779 without a remainder.

1, 3, 593, 1779

Least Common Multiple of 1776 and 1779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1776 and 1779, than apply into the LCM equation.

GCF(1776,1779) = 3
LCM(1776,1779) = ( 1776 × 1779) / 3
LCM(1776,1779) = 3159504 / 3
LCM(1776,1779) = 1053168

Properties of LCM 1776 and 1779

(i) The LCM of 1779 and 1776 is associative

LCM of 1776 and 1779 = LCM of 1779 and 1776

Related Least Common Multiples of 1776

Related Least Common Multiples of 1779

Frequently Asked Questions on LCM of 1776 and 1779

1. What is the LCM of 1776 and 1779?

Answer: LCM of 1776 and 1779 is 1053168.

2. 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.

3. What are the Factors of 1779?

Answer: Factors of 1779 are 1, 3, 593, 1779. There are 4 integers that are factors of 1779. The greatest factor of 1779 is 1779.

4. How to Find the LCM of 1776 and 1779?

Answer:

Least Common Multiple of 1776 and 1779 = 1053168

Step 1: Find the prime factorization of 1776

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

Step 2: Find the prime factorization of 1779

1779 = 3 x 593

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

LCM = 1053168 = 2 x 2 x 2 x 2 x 3 x 37 x 593

Step 4: Therefore, the least common multiple of 1776 and 1779 is 1053168.