Least Common Multiple of 8101 and 8108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8101 and 8108 the smallest integer that is 65682908 that is divisible by both numbers.

Least Common Multiple (LCM) of 8101 and 8108 is 65682908.

LCM(8101,8108) = 65682908

LCM of 8101 and 8108

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

LCM of:
and

Least Common Multiple of 8101 and 8108

LCM of 8101 and 8108 is 65682908

Least common multiple can be found by multiplying the highest exponent prime factors of 8101 and 8108. First we will calculate the prime factors of 8101 and 8108.

Prime Factorization of 8101


8101 8101
1

Prime factors of 8101 are 8101. Prime factorization of 8101 in exponential form is:

8101 = 81011

Prime Factorization of 8108


2 8108
2 4054
2027 2027
1

Prime factors of 8108 are 2,2027. Prime factorization of 8108 in exponential form is:

8108 = 22×20271

Now multiplying the highest exponent prime factors to calculate the LCM of 8101 and 8108.

LCM(8101,8108) = 22×20271×81011
LCM(8101,8108) = 65682908

Factors of 8101

List of positive integer factors of 8101 that divides 8101 without a remainder.

1, 8101

Factors of 8108

List of positive integer factors of 8108 that divides 8108 without a remainder.

1, 2, 4, 2027, 4054, 8108

Least Common Multiple of 8101 and 8108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8101 and 8108, than apply into the LCM equation.

GCF(8101,8108) = 1
LCM(8101,8108) = ( 8101 × 8108) / 1
LCM(8101,8108) = 65682908 / 1
LCM(8101,8108) = 65682908

Properties of LCM 8101 and 8108

(i) The LCM of 8108 and 8101 is associative

LCM of 8101 and 8108 = LCM of 8108 and 8101

Related Least Common Multiples of 8101

Related Least Common Multiples of 8108

Frequently Asked Questions on LCM of 8101 and 8108

1. What is the LCM of 8101 and 8108?

Answer: LCM of 8101 and 8108 is 65682908.

2. What are the Factors of 8101?

Answer: Factors of 8101 are 1, 8101. There are 2 integers that are factors of 8101. The greatest factor of 8101 is 8101.

3. What are the Factors of 8108?

Answer: Factors of 8108 are 1, 2, 4, 2027, 4054, 8108. There are 6 integers that are factors of 8108. The greatest factor of 8108 is 8108.

4. How to Find the LCM of 8101 and 8108?

Answer:

Least Common Multiple of 8101 and 8108 = 65682908

Step 1: Find the prime factorization of 8101

8101 = 8101

Step 2: Find the prime factorization of 8108

8108 = 2 x 2 x 2027

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

LCM = 65682908 = 2 x 2 x 2027 x 8101

Step 4: Therefore, the least common multiple of 8101 and 8108 is 65682908.