Least Common Multiple of 8905 and 8913

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 8913 the smallest integer that is 79370265 that is divisible by both numbers.

Least Common Multiple (LCM) of 8905 and 8913 is 79370265.

LCM(8905,8913) = 79370265

LCM of 8905 and 8913

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

LCM of:
and

Least Common Multiple of 8905 and 8913

LCM of 8905 and 8913 is 79370265

Least common multiple can be found by multiplying the highest exponent prime factors of 8905 and 8913. First we will calculate the prime factors of 8905 and 8913.

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 8913


3 8913
2971 2971
1

Prime factors of 8913 are 3,2971. Prime factorization of 8913 in exponential form is:

8913 = 31×29711

Now multiplying the highest exponent prime factors to calculate the LCM of 8905 and 8913.

LCM(8905,8913) = 31×51×131×1371×29711
LCM(8905,8913) = 79370265

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 8913

List of positive integer factors of 8913 that divides 8913 without a remainder.

1, 3, 2971, 8913

Least Common Multiple of 8905 and 8913 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 8913, than apply into the LCM equation.

GCF(8905,8913) = 1
LCM(8905,8913) = ( 8905 × 8913) / 1
LCM(8905,8913) = 79370265 / 1
LCM(8905,8913) = 79370265

Properties of LCM 8905 and 8913

(i) The LCM of 8913 and 8905 is associative

LCM of 8905 and 8913 = LCM of 8913 and 8905

Related Least Common Multiples of 8905

Related Least Common Multiples of 8913

Frequently Asked Questions on LCM of 8905 and 8913

1. What is the LCM of 8905 and 8913?

Answer: LCM of 8905 and 8913 is 79370265.

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 8913?

Answer: Factors of 8913 are 1, 3, 2971, 8913. There are 4 integers that are factors of 8913. The greatest factor of 8913 is 8913.

4. How to Find the LCM of 8905 and 8913?

Answer:

Least Common Multiple of 8905 and 8913 = 79370265

Step 1: Find the prime factorization of 8905

8905 = 5 x 13 x 137

Step 2: Find the prime factorization of 8913

8913 = 3 x 2971

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

LCM = 79370265 = 3 x 5 x 13 x 137 x 2971

Step 4: Therefore, the least common multiple of 8905 and 8913 is 79370265.