Least Common Multiple of 8882 and 8890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8882 and 8890 the smallest integer that is 39480490 that is divisible by both numbers.

Least Common Multiple (LCM) of 8882 and 8890 is 39480490.

LCM(8882,8890) = 39480490

LCM of 8882 and 8890

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

LCM of:
and

Least Common Multiple of 8882 and 8890

LCM of 8882 and 8890 is 39480490

Least common multiple can be found by multiplying the highest exponent prime factors of 8882 and 8890. First we will calculate the prime factors of 8882 and 8890.

Prime Factorization of 8882


2 8882
4441 4441
1

Prime factors of 8882 are 2,4441. Prime factorization of 8882 in exponential form is:

8882 = 21×44411

Prime Factorization of 8890


2 8890
5 4445
7 889
127 127
1

Prime factors of 8890 are 2, 5, 7,127. Prime factorization of 8890 in exponential form is:

8890 = 21×51×71×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 8882 and 8890.

LCM(8882,8890) = 21×51×71×1271×44411
LCM(8882,8890) = 39480490

Factors of 8882

List of positive integer factors of 8882 that divides 8882 without a remainder.

1, 2, 4441, 8882

Factors of 8890

List of positive integer factors of 8890 that divides 8890 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 127, 254, 635, 889, 1270, 1778, 4445, 8890

Least Common Multiple of 8882 and 8890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8882 and 8890, than apply into the LCM equation.

GCF(8882,8890) = 2
LCM(8882,8890) = ( 8882 × 8890) / 2
LCM(8882,8890) = 78960980 / 2
LCM(8882,8890) = 39480490

Properties of LCM 8882 and 8890

(i) The LCM of 8890 and 8882 is associative

LCM of 8882 and 8890 = LCM of 8890 and 8882

Related Least Common Multiples of 8882

Related Least Common Multiples of 8890

Frequently Asked Questions on LCM of 8882 and 8890

1. What is the LCM of 8882 and 8890?

Answer: LCM of 8882 and 8890 is 39480490.

2. What are the Factors of 8882?

Answer: Factors of 8882 are 1, 2, 4441, 8882. There are 4 integers that are factors of 8882. The greatest factor of 8882 is 8882.

3. What are the Factors of 8890?

Answer: Factors of 8890 are 1, 2, 5, 7, 10, 14, 35, 70, 127, 254, 635, 889, 1270, 1778, 4445, 8890. There are 16 integers that are factors of 8890. The greatest factor of 8890 is 8890.

4. How to Find the LCM of 8882 and 8890?

Answer:

Least Common Multiple of 8882 and 8890 = 39480490

Step 1: Find the prime factorization of 8882

8882 = 2 x 4441

Step 2: Find the prime factorization of 8890

8890 = 2 x 5 x 7 x 127

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

LCM = 39480490 = 2 x 5 x 7 x 127 x 4441

Step 4: Therefore, the least common multiple of 8882 and 8890 is 39480490.