Least Common Multiple of 8783 and 8791

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8783 and 8791 the smallest integer that is 77211353 that is divisible by both numbers.

Least Common Multiple (LCM) of 8783 and 8791 is 77211353.

LCM(8783,8791) = 77211353

LCM of 8783 and 8791

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

LCM of:
and

Least Common Multiple of 8783 and 8791

LCM of 8783 and 8791 is 77211353

Least common multiple can be found by multiplying the highest exponent prime factors of 8783 and 8791. First we will calculate the prime factors of 8783 and 8791.

Prime Factorization of 8783


8783 8783
1

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

8783 = 87831

Prime Factorization of 8791


59 8791
149 149
1

Prime factors of 8791 are 59,149. Prime factorization of 8791 in exponential form is:

8791 = 591×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 8783 and 8791.

LCM(8783,8791) = 591×1491×87831
LCM(8783,8791) = 77211353

Factors of 8783

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

1, 8783

Factors of 8791

List of positive integer factors of 8791 that divides 8791 without a remainder.

1, 59, 149, 8791

Least Common Multiple of 8783 and 8791 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8783 and 8791, than apply into the LCM equation.

GCF(8783,8791) = 1
LCM(8783,8791) = ( 8783 × 8791) / 1
LCM(8783,8791) = 77211353 / 1
LCM(8783,8791) = 77211353

Properties of LCM 8783 and 8791

(i) The LCM of 8791 and 8783 is associative

LCM of 8783 and 8791 = LCM of 8791 and 8783

Related Least Common Multiples of 8783

Related Least Common Multiples of 8791

Frequently Asked Questions on LCM of 8783 and 8791

1. What is the LCM of 8783 and 8791?

Answer: LCM of 8783 and 8791 is 77211353.

2. 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.

3. What are the Factors of 8791?

Answer: Factors of 8791 are 1, 59, 149, 8791. There are 4 integers that are factors of 8791. The greatest factor of 8791 is 8791.

4. How to Find the LCM of 8783 and 8791?

Answer:

Least Common Multiple of 8783 and 8791 = 77211353

Step 1: Find the prime factorization of 8783

8783 = 8783

Step 2: Find the prime factorization of 8791

8791 = 59 x 149

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

LCM = 77211353 = 59 x 149 x 8783

Step 4: Therefore, the least common multiple of 8783 and 8791 is 77211353.