Least Common Multiple of 8772 and 8780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8772 and 8780 the smallest integer that is 19254540 that is divisible by both numbers.

Least Common Multiple (LCM) of 8772 and 8780 is 19254540.

LCM(8772,8780) = 19254540

LCM of 8772 and 8780

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

LCM of:
and

Least Common Multiple of 8772 and 8780

LCM of 8772 and 8780 is 19254540

Least common multiple can be found by multiplying the highest exponent prime factors of 8772 and 8780. First we will calculate the prime factors of 8772 and 8780.

Prime Factorization of 8772


2 8772
2 4386
3 2193
17 731
43 43
1

Prime factors of 8772 are 2, 3, 17,43. Prime factorization of 8772 in exponential form is:

8772 = 22×31×171×431

Prime Factorization of 8780


2 8780
2 4390
5 2195
439 439
1

Prime factors of 8780 are 2, 5,439. Prime factorization of 8780 in exponential form is:

8780 = 22×51×4391

Now multiplying the highest exponent prime factors to calculate the LCM of 8772 and 8780.

LCM(8772,8780) = 22×31×51×171×431×4391
LCM(8772,8780) = 19254540

Factors of 8772

List of positive integer factors of 8772 that divides 8772 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 43, 51, 68, 86, 102, 129, 172, 204, 258, 516, 731, 1462, 2193, 2924, 4386, 8772

Factors of 8780

List of positive integer factors of 8780 that divides 8780 without a remainder.

1, 2, 4, 5, 10, 20, 439, 878, 1756, 2195, 4390, 8780

Least Common Multiple of 8772 and 8780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8772 and 8780, than apply into the LCM equation.

GCF(8772,8780) = 4
LCM(8772,8780) = ( 8772 × 8780) / 4
LCM(8772,8780) = 77018160 / 4
LCM(8772,8780) = 19254540

Properties of LCM 8772 and 8780

(i) The LCM of 8780 and 8772 is associative

LCM of 8772 and 8780 = LCM of 8780 and 8772

Related Least Common Multiples of 8772

Related Least Common Multiples of 8780

Frequently Asked Questions on LCM of 8772 and 8780

1. What is the LCM of 8772 and 8780?

Answer: LCM of 8772 and 8780 is 19254540.

2. What are the Factors of 8772?

Answer: Factors of 8772 are 1, 2, 3, 4, 6, 12, 17, 34, 43, 51, 68, 86, 102, 129, 172, 204, 258, 516, 731, 1462, 2193, 2924, 4386, 8772. There are 24 integers that are factors of 8772. The greatest factor of 8772 is 8772.

3. What are the Factors of 8780?

Answer: Factors of 8780 are 1, 2, 4, 5, 10, 20, 439, 878, 1756, 2195, 4390, 8780. There are 12 integers that are factors of 8780. The greatest factor of 8780 is 8780.

4. How to Find the LCM of 8772 and 8780?

Answer:

Least Common Multiple of 8772 and 8780 = 19254540

Step 1: Find the prime factorization of 8772

8772 = 2 x 2 x 3 x 17 x 43

Step 2: Find the prime factorization of 8780

8780 = 2 x 2 x 5 x 439

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

LCM = 19254540 = 2 x 2 x 3 x 5 x 17 x 43 x 439

Step 4: Therefore, the least common multiple of 8772 and 8780 is 19254540.