Least Common Multiple of 8905 and 8911

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8905 and 8911 the smallest integer that is 79352455 that is divisible by both numbers.

Least Common Multiple (LCM) of 8905 and 8911 is 79352455.

LCM(8905,8911) = 79352455

LCM of 8905 and 8911

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

LCM of:
and

Least Common Multiple of 8905 and 8911

LCM of 8905 and 8911 is 79352455

Least common multiple can be found by multiplying the highest exponent prime factors of 8905 and 8911. First we will calculate the prime factors of 8905 and 8911.

Prime Factorization of 8905


5 8905
13 1781
137 137
1

Prime factors of 8905 are 5, 13,137. Prime factorization of 8905 in exponential form is:

8905 = 51×131×1371

Prime Factorization of 8911


7 8911
19 1273
67 67
1

Prime factors of 8911 are 7, 19,67. Prime factorization of 8911 in exponential form is:

8911 = 71×191×671

Now multiplying the highest exponent prime factors to calculate the LCM of 8905 and 8911.

LCM(8905,8911) = 51×71×131×191×671×1371
LCM(8905,8911) = 79352455

Factors of 8905

List of positive integer factors of 8905 that divides 8905 without a remainder.

1, 5, 13, 65, 137, 685, 1781, 8905

Factors of 8911

List of positive integer factors of 8911 that divides 8911 without a remainder.

1, 7, 19, 67, 133, 469, 1273, 8911

Least Common Multiple of 8905 and 8911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8905 and 8911, than apply into the LCM equation.

GCF(8905,8911) = 1
LCM(8905,8911) = ( 8905 × 8911) / 1
LCM(8905,8911) = 79352455 / 1
LCM(8905,8911) = 79352455

Properties of LCM 8905 and 8911

(i) The LCM of 8911 and 8905 is associative

LCM of 8905 and 8911 = LCM of 8911 and 8905

Related Least Common Multiples of 8905

Related Least Common Multiples of 8911

Frequently Asked Questions on LCM of 8905 and 8911

1. What is the LCM of 8905 and 8911?

Answer: LCM of 8905 and 8911 is 79352455.

2. What are the Factors of 8905?

Answer: Factors of 8905 are 1, 5, 13, 65, 137, 685, 1781, 8905. There are 8 integers that are factors of 8905. The greatest factor of 8905 is 8905.

3. What are the Factors of 8911?

Answer: Factors of 8911 are 1, 7, 19, 67, 133, 469, 1273, 8911. There are 8 integers that are factors of 8911. The greatest factor of 8911 is 8911.

4. How to Find the LCM of 8905 and 8911?

Answer:

Least Common Multiple of 8905 and 8911 = 79352455

Step 1: Find the prime factorization of 8905

8905 = 5 x 13 x 137

Step 2: Find the prime factorization of 8911

8911 = 7 x 19 x 67

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

LCM = 79352455 = 5 x 7 x 13 x 19 x 67 x 137

Step 4: Therefore, the least common multiple of 8905 and 8911 is 79352455.