Least Common Multiple of 8780 and 8783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8780 and 8783 the smallest integer that is 77114740 that is divisible by both numbers.

Least Common Multiple (LCM) of 8780 and 8783 is 77114740.

LCM(8780,8783) = 77114740

LCM of 8780 and 8783

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

LCM of:
and

Least Common Multiple of 8780 and 8783

LCM of 8780 and 8783 is 77114740

Least common multiple can be found by multiplying the highest exponent prime factors of 8780 and 8783. First we will calculate the prime factors of 8780 and 8783.

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

Prime Factorization of 8783


8783 8783
1

Prime factors of 8783 are 8783. Prime factorization of 8783 in exponential form is:

8783 = 87831

Now multiplying the highest exponent prime factors to calculate the LCM of 8780 and 8783.

LCM(8780,8783) = 22×51×4391×87831
LCM(8780,8783) = 77114740

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

Factors of 8783

List of positive integer factors of 8783 that divides 8783 without a remainder.

1, 8783

Least Common Multiple of 8780 and 8783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8780 and 8783, than apply into the LCM equation.

GCF(8780,8783) = 1
LCM(8780,8783) = ( 8780 × 8783) / 1
LCM(8780,8783) = 77114740 / 1
LCM(8780,8783) = 77114740

Properties of LCM 8780 and 8783

(i) The LCM of 8783 and 8780 is associative

LCM of 8780 and 8783 = LCM of 8783 and 8780

Related Least Common Multiples of 8780

Related Least Common Multiples of 8783

Frequently Asked Questions on LCM of 8780 and 8783

1. What is the LCM of 8780 and 8783?

Answer: LCM of 8780 and 8783 is 77114740.

2. 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.

3. What are the Factors of 8783?

Answer: Factors of 8783 are 1, 8783. There are 2 integers that are factors of 8783. The greatest factor of 8783 is 8783.

4. How to Find the LCM of 8780 and 8783?

Answer:

Least Common Multiple of 8780 and 8783 = 77114740

Step 1: Find the prime factorization of 8780

8780 = 2 x 2 x 5 x 439

Step 2: Find the prime factorization of 8783

8783 = 8783

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

LCM = 77114740 = 2 x 2 x 5 x 439 x 8783

Step 4: Therefore, the least common multiple of 8780 and 8783 is 77114740.