Least Common Multiple of 8790 and 8798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8790 and 8798 the smallest integer that is 38667210 that is divisible by both numbers.

Least Common Multiple (LCM) of 8790 and 8798 is 38667210.

LCM(8790,8798) = 38667210

LCM of 8790 and 8798

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

LCM of:
and

Least Common Multiple of 8790 and 8798

LCM of 8790 and 8798 is 38667210

Least common multiple can be found by multiplying the highest exponent prime factors of 8790 and 8798. First we will calculate the prime factors of 8790 and 8798.

Prime Factorization of 8790


2 8790
3 4395
5 1465
293 293
1

Prime factors of 8790 are 2, 3, 5,293. Prime factorization of 8790 in exponential form is:

8790 = 21×31×51×2931

Prime Factorization of 8798


2 8798
53 4399
83 83
1

Prime factors of 8798 are 2, 53,83. Prime factorization of 8798 in exponential form is:

8798 = 21×531×831

Now multiplying the highest exponent prime factors to calculate the LCM of 8790 and 8798.

LCM(8790,8798) = 21×31×51×531×831×2931
LCM(8790,8798) = 38667210

Factors of 8790

List of positive integer factors of 8790 that divides 8790 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 293, 586, 879, 1465, 1758, 2930, 4395, 8790

Factors of 8798

List of positive integer factors of 8798 that divides 8798 without a remainder.

1, 2, 53, 83, 106, 166, 4399, 8798

Least Common Multiple of 8790 and 8798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8790 and 8798, than apply into the LCM equation.

GCF(8790,8798) = 2
LCM(8790,8798) = ( 8790 × 8798) / 2
LCM(8790,8798) = 77334420 / 2
LCM(8790,8798) = 38667210

Properties of LCM 8790 and 8798

(i) The LCM of 8798 and 8790 is associative

LCM of 8790 and 8798 = LCM of 8798 and 8790

Related Least Common Multiples of 8790

Related Least Common Multiples of 8798

Frequently Asked Questions on LCM of 8790 and 8798

1. What is the LCM of 8790 and 8798?

Answer: LCM of 8790 and 8798 is 38667210.

2. What are the Factors of 8790?

Answer: Factors of 8790 are 1, 2, 3, 5, 6, 10, 15, 30, 293, 586, 879, 1465, 1758, 2930, 4395, 8790. There are 16 integers that are factors of 8790. The greatest factor of 8790 is 8790.

3. What are the Factors of 8798?

Answer: Factors of 8798 are 1, 2, 53, 83, 106, 166, 4399, 8798. There are 8 integers that are factors of 8798. The greatest factor of 8798 is 8798.

4. How to Find the LCM of 8790 and 8798?

Answer:

Least Common Multiple of 8790 and 8798 = 38667210

Step 1: Find the prime factorization of 8790

8790 = 2 x 3 x 5 x 293

Step 2: Find the prime factorization of 8798

8798 = 2 x 53 x 83

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

LCM = 38667210 = 2 x 3 x 5 x 53 x 83 x 293

Step 4: Therefore, the least common multiple of 8790 and 8798 is 38667210.