Least Common Multiple of 8814 and 8820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8814 and 8820 the smallest integer that is 12956580 that is divisible by both numbers.

Least Common Multiple (LCM) of 8814 and 8820 is 12956580.

LCM(8814,8820) = 12956580

LCM of 8814 and 8820

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

LCM of:
and

Least Common Multiple of 8814 and 8820

LCM of 8814 and 8820 is 12956580

Least common multiple can be found by multiplying the highest exponent prime factors of 8814 and 8820. First we will calculate the prime factors of 8814 and 8820.

Prime Factorization of 8814


2 8814
3 4407
13 1469
113 113
1

Prime factors of 8814 are 2, 3, 13,113. Prime factorization of 8814 in exponential form is:

8814 = 21×31×131×1131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8814 and 8820.

LCM(8814,8820) = 22×32×51×72×131×1131
LCM(8814,8820) = 12956580

Factors of 8814

List of positive integer factors of 8814 that divides 8814 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 113, 226, 339, 678, 1469, 2938, 4407, 8814

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

Least Common Multiple of 8814 and 8820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8814 and 8820, than apply into the LCM equation.

GCF(8814,8820) = 6
LCM(8814,8820) = ( 8814 × 8820) / 6
LCM(8814,8820) = 77739480 / 6
LCM(8814,8820) = 12956580

Properties of LCM 8814 and 8820

(i) The LCM of 8820 and 8814 is associative

LCM of 8814 and 8820 = LCM of 8820 and 8814

Related Least Common Multiples of 8814

Related Least Common Multiples of 8820

Frequently Asked Questions on LCM of 8814 and 8820

1. What is the LCM of 8814 and 8820?

Answer: LCM of 8814 and 8820 is 12956580.

2. What are the Factors of 8814?

Answer: Factors of 8814 are 1, 2, 3, 6, 13, 26, 39, 78, 113, 226, 339, 678, 1469, 2938, 4407, 8814. There are 16 integers that are factors of 8814. The greatest factor of 8814 is 8814.

3. 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.

4. How to Find the LCM of 8814 and 8820?

Answer:

Least Common Multiple of 8814 and 8820 = 12956580

Step 1: Find the prime factorization of 8814

8814 = 2 x 3 x 13 x 113

Step 2: Find the prime factorization of 8820

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

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

LCM = 12956580 = 2 x 2 x 3 x 3 x 5 x 7 x 7 x 13 x 113

Step 4: Therefore, the least common multiple of 8814 and 8820 is 12956580.