Least Common Multiple of 8820 and 8826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8820 and 8826 the smallest integer that is 12974220 that is divisible by both numbers.

Least Common Multiple (LCM) of 8820 and 8826 is 12974220.

LCM(8820,8826) = 12974220

LCM of 8820 and 8826

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

LCM of:
and

Least Common Multiple of 8820 and 8826

LCM of 8820 and 8826 is 12974220

Least common multiple can be found by multiplying the highest exponent prime factors of 8820 and 8826. First we will calculate the prime factors of 8820 and 8826.

Prime Factorization of 8820


2 8820
2 4410
3 2205
3 735
5 245
7 49
7 7
1

Prime factors of 8820 are 2, 3, 5,7. Prime factorization of 8820 in exponential form is:

8820 = 22×32×51×72

Prime Factorization of 8826


2 8826
3 4413
1471 1471
1

Prime factors of 8826 are 2, 3,1471. Prime factorization of 8826 in exponential form is:

8826 = 21×31×14711

Now multiplying the highest exponent prime factors to calculate the LCM of 8820 and 8826.

LCM(8820,8826) = 22×32×51×72×14711
LCM(8820,8826) = 12974220

Factors of 8820

List of positive integer factors of 8820 that divides 8820 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 49, 60, 63, 70, 84, 90, 98, 105, 126, 140, 147, 180, 196, 210, 245, 252, 294, 315, 420, 441, 490, 588, 630, 735, 882, 980, 1260, 1470, 1764, 2205, 2940, 4410, 8820

Factors of 8826

List of positive integer factors of 8826 that divides 8826 without a remainder.

1, 2, 3, 6, 1471, 2942, 4413, 8826

Least Common Multiple of 8820 and 8826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8820 and 8826, than apply into the LCM equation.

GCF(8820,8826) = 6
LCM(8820,8826) = ( 8820 × 8826) / 6
LCM(8820,8826) = 77845320 / 6
LCM(8820,8826) = 12974220

Properties of LCM 8820 and 8826

(i) The LCM of 8826 and 8820 is associative

LCM of 8820 and 8826 = LCM of 8826 and 8820

Related Least Common Multiples of 8820

Related Least Common Multiples of 8826

Frequently Asked Questions on LCM of 8820 and 8826

1. What is the LCM of 8820 and 8826?

Answer: LCM of 8820 and 8826 is 12974220.

2. What are the Factors of 8820?

Answer: Factors of 8820 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 49, 60, 63, 70, 84, 90, 98, 105, 126, 140, 147, 180, 196, 210, 245, 252, 294, 315, 420, 441, 490, 588, 630, 735, 882, 980, 1260, 1470, 1764, 2205, 2940, 4410, 8820. There are 54 integers that are factors of 8820. The greatest factor of 8820 is 8820.

3. What are the Factors of 8826?

Answer: Factors of 8826 are 1, 2, 3, 6, 1471, 2942, 4413, 8826. There are 8 integers that are factors of 8826. The greatest factor of 8826 is 8826.

4. How to Find the LCM of 8820 and 8826?

Answer:

Least Common Multiple of 8820 and 8826 = 12974220

Step 1: Find the prime factorization of 8820

8820 = 2 x 2 x 3 x 3 x 5 x 7 x 7

Step 2: Find the prime factorization of 8826

8826 = 2 x 3 x 1471

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

LCM = 12974220 = 2 x 2 x 3 x 3 x 5 x 7 x 7 x 1471

Step 4: Therefore, the least common multiple of 8820 and 8826 is 12974220.