Least Common Multiple of 8796 and 8802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8796 and 8802 the smallest integer that is 12903732 that is divisible by both numbers.

Least Common Multiple (LCM) of 8796 and 8802 is 12903732.

LCM(8796,8802) = 12903732

LCM of 8796 and 8802

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

LCM of:
and

Least Common Multiple of 8796 and 8802

LCM of 8796 and 8802 is 12903732

Least common multiple can be found by multiplying the highest exponent prime factors of 8796 and 8802. First we will calculate the prime factors of 8796 and 8802.

Prime Factorization of 8796


2 8796
2 4398
3 2199
733 733
1

Prime factors of 8796 are 2, 3,733. Prime factorization of 8796 in exponential form is:

8796 = 22×31×7331

Prime Factorization of 8802


2 8802
3 4401
3 1467
3 489
163 163
1

Prime factors of 8802 are 2, 3,163. Prime factorization of 8802 in exponential form is:

8802 = 21×33×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 8796 and 8802.

LCM(8796,8802) = 22×33×1631×7331
LCM(8796,8802) = 12903732

Factors of 8796

List of positive integer factors of 8796 that divides 8796 without a remainder.

1, 2, 3, 4, 6, 12, 733, 1466, 2199, 2932, 4398, 8796

Factors of 8802

List of positive integer factors of 8802 that divides 8802 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 163, 326, 489, 978, 1467, 2934, 4401, 8802

Least Common Multiple of 8796 and 8802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8796 and 8802, than apply into the LCM equation.

GCF(8796,8802) = 6
LCM(8796,8802) = ( 8796 × 8802) / 6
LCM(8796,8802) = 77422392 / 6
LCM(8796,8802) = 12903732

Properties of LCM 8796 and 8802

(i) The LCM of 8802 and 8796 is associative

LCM of 8796 and 8802 = LCM of 8802 and 8796

Related Least Common Multiples of 8796

Related Least Common Multiples of 8802

Frequently Asked Questions on LCM of 8796 and 8802

1. What is the LCM of 8796 and 8802?

Answer: LCM of 8796 and 8802 is 12903732.

2. What are the Factors of 8796?

Answer: Factors of 8796 are 1, 2, 3, 4, 6, 12, 733, 1466, 2199, 2932, 4398, 8796. There are 12 integers that are factors of 8796. The greatest factor of 8796 is 8796.

3. What are the Factors of 8802?

Answer: Factors of 8802 are 1, 2, 3, 6, 9, 18, 27, 54, 163, 326, 489, 978, 1467, 2934, 4401, 8802. There are 16 integers that are factors of 8802. The greatest factor of 8802 is 8802.

4. How to Find the LCM of 8796 and 8802?

Answer:

Least Common Multiple of 8796 and 8802 = 12903732

Step 1: Find the prime factorization of 8796

8796 = 2 x 2 x 3 x 733

Step 2: Find the prime factorization of 8802

8802 = 2 x 3 x 3 x 3 x 163

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

LCM = 12903732 = 2 x 2 x 3 x 3 x 3 x 163 x 733

Step 4: Therefore, the least common multiple of 8796 and 8802 is 12903732.