Least Common Multiple of 1772 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 1772 and 1776 the smallest integer that is 786768 that is divisible by both numbers.

Least Common Multiple (LCM) of 1772 and 1776 is 786768.

LCM(1772,1776) = 786768

LCM of 1772 and 1776

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

LCM of:
and

Least Common Multiple of 1772 and 1776

LCM of 1772 and 1776 is 786768

Least common multiple can be found by multiplying the highest exponent prime factors of 1772 and 1776. First we will calculate the prime factors of 1772 and 1776.

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

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 1772 and 1776.

LCM(1772,1776) = 24×31×371×4431
LCM(1772,1776) = 786768

Factors of 1772

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

1, 2, 4, 443, 886, 1772

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 1772 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 1772 and 1776, than apply into the LCM equation.

GCF(1772,1776) = 4
LCM(1772,1776) = ( 1772 × 1776) / 4
LCM(1772,1776) = 3147072 / 4
LCM(1772,1776) = 786768

Properties of LCM 1772 and 1776

(i) The LCM of 1776 and 1772 is associative

LCM of 1772 and 1776 = LCM of 1776 and 1772

Related Least Common Multiples of 1772

Related Least Common Multiples of 1776

Frequently Asked Questions on LCM of 1772 and 1776

1. What is the LCM of 1772 and 1776?

Answer: LCM of 1772 and 1776 is 786768.

2. 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.

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 1772 and 1776?

Answer:

Least Common Multiple of 1772 and 1776 = 786768

Step 1: Find the prime factorization of 1772

1772 = 2 x 2 x 443

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 = 786768 = 2 x 2 x 2 x 2 x 3 x 37 x 443

Step 4: Therefore, the least common multiple of 1772 and 1776 is 786768.