Least Common Multiple of 1771 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 1771 and 1776 the smallest integer that is 3145296 that is divisible by both numbers.

Least Common Multiple (LCM) of 1771 and 1776 is 3145296.

LCM(1771,1776) = 3145296

LCM of 1771 and 1776

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

LCM of:
and

Least Common Multiple of 1771 and 1776

LCM of 1771 and 1776 is 3145296

Least common multiple can be found by multiplying the highest exponent prime factors of 1771 and 1776. First we will calculate the prime factors of 1771 and 1776.

Prime Factorization of 1771


7 1771
11 253
23 23
1

Prime factors of 1771 are 7, 11,23. Prime factorization of 1771 in exponential form is:

1771 = 71×111×231

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 1771 and 1776.

LCM(1771,1776) = 24×31×71×111×231×371
LCM(1771,1776) = 3145296

Factors of 1771

List of positive integer factors of 1771 that divides 1771 without a remainder.

1, 7, 11, 23, 77, 161, 253, 1771

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 1771 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 1771 and 1776, than apply into the LCM equation.

GCF(1771,1776) = 1
LCM(1771,1776) = ( 1771 × 1776) / 1
LCM(1771,1776) = 3145296 / 1
LCM(1771,1776) = 3145296

Properties of LCM 1771 and 1776

(i) The LCM of 1776 and 1771 is associative

LCM of 1771 and 1776 = LCM of 1776 and 1771

Related Least Common Multiples of 1771

Related Least Common Multiples of 1776

Frequently Asked Questions on LCM of 1771 and 1776

1. What is the LCM of 1771 and 1776?

Answer: LCM of 1771 and 1776 is 3145296.

2. What are the Factors of 1771?

Answer: Factors of 1771 are 1, 7, 11, 23, 77, 161, 253, 1771. There are 8 integers that are factors of 1771. The greatest factor of 1771 is 1771.

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 1771 and 1776?

Answer:

Least Common Multiple of 1771 and 1776 = 3145296

Step 1: Find the prime factorization of 1771

1771 = 7 x 11 x 23

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 = 3145296 = 2 x 2 x 2 x 2 x 3 x 7 x 11 x 23 x 37

Step 4: Therefore, the least common multiple of 1771 and 1776 is 3145296.