Least Common Multiple of 8798 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 8798 and 8802 the smallest integer that is 38719998 that is divisible by both numbers.

Least Common Multiple (LCM) of 8798 and 8802 is 38719998.

LCM(8798,8802) = 38719998

LCM of 8798 and 8802

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

LCM of:
and

Least Common Multiple of 8798 and 8802

LCM of 8798 and 8802 is 38719998

Least common multiple can be found by multiplying the highest exponent prime factors of 8798 and 8802. First we will calculate the prime factors of 8798 and 8802.

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

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 8798 and 8802.

LCM(8798,8802) = 21×33×531×831×1631
LCM(8798,8802) = 38719998

Factors of 8798

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

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

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 8798 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 8798 and 8802, than apply into the LCM equation.

GCF(8798,8802) = 2
LCM(8798,8802) = ( 8798 × 8802) / 2
LCM(8798,8802) = 77439996 / 2
LCM(8798,8802) = 38719998

Properties of LCM 8798 and 8802

(i) The LCM of 8802 and 8798 is associative

LCM of 8798 and 8802 = LCM of 8802 and 8798

Related Least Common Multiples of 8798

Related Least Common Multiples of 8802

Frequently Asked Questions on LCM of 8798 and 8802

1. What is the LCM of 8798 and 8802?

Answer: LCM of 8798 and 8802 is 38719998.

2. 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.

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 8798 and 8802?

Answer:

Least Common Multiple of 8798 and 8802 = 38719998

Step 1: Find the prime factorization of 8798

8798 = 2 x 53 x 83

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 = 38719998 = 2 x 3 x 3 x 3 x 53 x 83 x 163

Step 4: Therefore, the least common multiple of 8798 and 8802 is 38719998.