Least Common Multiple of 4101 and 4108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4101 and 4108 the smallest integer that is 16846908 that is divisible by both numbers.

Least Common Multiple (LCM) of 4101 and 4108 is 16846908.

LCM(4101,4108) = 16846908

LCM of 4101 and 4108

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

LCM of:
and

Least Common Multiple of 4101 and 4108

LCM of 4101 and 4108 is 16846908

Least common multiple can be found by multiplying the highest exponent prime factors of 4101 and 4108. First we will calculate the prime factors of 4101 and 4108.

Prime Factorization of 4101


3 4101
1367 1367
1

Prime factors of 4101 are 3,1367. Prime factorization of 4101 in exponential form is:

4101 = 31×13671

Prime Factorization of 4108


2 4108
2 2054
13 1027
79 79
1

Prime factors of 4108 are 2, 13,79. Prime factorization of 4108 in exponential form is:

4108 = 22×131×791

Now multiplying the highest exponent prime factors to calculate the LCM of 4101 and 4108.

LCM(4101,4108) = 22×31×131×791×13671
LCM(4101,4108) = 16846908

Factors of 4101

List of positive integer factors of 4101 that divides 4101 without a remainder.

1, 3, 1367, 4101

Factors of 4108

List of positive integer factors of 4108 that divides 4108 without a remainder.

1, 2, 4, 13, 26, 52, 79, 158, 316, 1027, 2054, 4108

Least Common Multiple of 4101 and 4108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4101 and 4108, than apply into the LCM equation.

GCF(4101,4108) = 1
LCM(4101,4108) = ( 4101 × 4108) / 1
LCM(4101,4108) = 16846908 / 1
LCM(4101,4108) = 16846908

Properties of LCM 4101 and 4108

(i) The LCM of 4108 and 4101 is associative

LCM of 4101 and 4108 = LCM of 4108 and 4101

Related Least Common Multiples of 4101

Related Least Common Multiples of 4108

Frequently Asked Questions on LCM of 4101 and 4108

1. What is the LCM of 4101 and 4108?

Answer: LCM of 4101 and 4108 is 16846908.

2. What are the Factors of 4101?

Answer: Factors of 4101 are 1, 3, 1367, 4101. There are 4 integers that are factors of 4101. The greatest factor of 4101 is 4101.

3. What are the Factors of 4108?

Answer: Factors of 4108 are 1, 2, 4, 13, 26, 52, 79, 158, 316, 1027, 2054, 4108. There are 12 integers that are factors of 4108. The greatest factor of 4108 is 4108.

4. How to Find the LCM of 4101 and 4108?

Answer:

Least Common Multiple of 4101 and 4108 = 16846908

Step 1: Find the prime factorization of 4101

4101 = 3 x 1367

Step 2: Find the prime factorization of 4108

4108 = 2 x 2 x 13 x 79

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

LCM = 16846908 = 2 x 2 x 3 x 13 x 79 x 1367

Step 4: Therefore, the least common multiple of 4101 and 4108 is 16846908.