Least Common Multiple of 8900 and 8906

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8900 and 8906 the smallest integer that is 39631700 that is divisible by both numbers.

Least Common Multiple (LCM) of 8900 and 8906 is 39631700.

LCM(8900,8906) = 39631700

LCM of 8900 and 8906

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

LCM of:
and

Least Common Multiple of 8900 and 8906

LCM of 8900 and 8906 is 39631700

Least common multiple can be found by multiplying the highest exponent prime factors of 8900 and 8906. First we will calculate the prime factors of 8900 and 8906.

Prime Factorization of 8900


2 8900
2 4450
5 2225
5 445
89 89
1

Prime factors of 8900 are 2, 5,89. Prime factorization of 8900 in exponential form is:

8900 = 22×52×891

Prime Factorization of 8906


2 8906
61 4453
73 73
1

Prime factors of 8906 are 2, 61,73. Prime factorization of 8906 in exponential form is:

8906 = 21×611×731

Now multiplying the highest exponent prime factors to calculate the LCM of 8900 and 8906.

LCM(8900,8906) = 22×52×611×731×891
LCM(8900,8906) = 39631700

Factors of 8900

List of positive integer factors of 8900 that divides 8900 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 89, 100, 178, 356, 445, 890, 1780, 2225, 4450, 8900

Factors of 8906

List of positive integer factors of 8906 that divides 8906 without a remainder.

1, 2, 61, 73, 122, 146, 4453, 8906

Least Common Multiple of 8900 and 8906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8900 and 8906, than apply into the LCM equation.

GCF(8900,8906) = 2
LCM(8900,8906) = ( 8900 × 8906) / 2
LCM(8900,8906) = 79263400 / 2
LCM(8900,8906) = 39631700

Properties of LCM 8900 and 8906

(i) The LCM of 8906 and 8900 is associative

LCM of 8900 and 8906 = LCM of 8906 and 8900

Related Least Common Multiples of 8900

Related Least Common Multiples of 8906

Frequently Asked Questions on LCM of 8900 and 8906

1. What is the LCM of 8900 and 8906?

Answer: LCM of 8900 and 8906 is 39631700.

2. What are the Factors of 8900?

Answer: Factors of 8900 are 1, 2, 4, 5, 10, 20, 25, 50, 89, 100, 178, 356, 445, 890, 1780, 2225, 4450, 8900. There are 18 integers that are factors of 8900. The greatest factor of 8900 is 8900.

3. What are the Factors of 8906?

Answer: Factors of 8906 are 1, 2, 61, 73, 122, 146, 4453, 8906. There are 8 integers that are factors of 8906. The greatest factor of 8906 is 8906.

4. How to Find the LCM of 8900 and 8906?

Answer:

Least Common Multiple of 8900 and 8906 = 39631700

Step 1: Find the prime factorization of 8900

8900 = 2 x 2 x 5 x 5 x 89

Step 2: Find the prime factorization of 8906

8906 = 2 x 61 x 73

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

LCM = 39631700 = 2 x 2 x 5 x 5 x 61 x 73 x 89

Step 4: Therefore, the least common multiple of 8900 and 8906 is 39631700.