Least Common Multiple of 4100 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 4100 and 4108 the smallest integer that is 4210700 that is divisible by both numbers.

Least Common Multiple (LCM) of 4100 and 4108 is 4210700.

LCM(4100,4108) = 4210700

LCM of 4100 and 4108

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

LCM of:
and

Least Common Multiple of 4100 and 4108

LCM of 4100 and 4108 is 4210700

Least common multiple can be found by multiplying the highest exponent prime factors of 4100 and 4108. First we will calculate the prime factors of 4100 and 4108.

Prime Factorization of 4100


2 4100
2 2050
5 1025
5 205
41 41
1

Prime factors of 4100 are 2, 5,41. Prime factorization of 4100 in exponential form is:

4100 = 22×52×411

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 4100 and 4108.

LCM(4100,4108) = 22×52×131×411×791
LCM(4100,4108) = 4210700

Factors of 4100

List of positive integer factors of 4100 that divides 4100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 41, 50, 82, 100, 164, 205, 410, 820, 1025, 2050, 4100

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 4100 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 4100 and 4108, than apply into the LCM equation.

GCF(4100,4108) = 4
LCM(4100,4108) = ( 4100 × 4108) / 4
LCM(4100,4108) = 16842800 / 4
LCM(4100,4108) = 4210700

Properties of LCM 4100 and 4108

(i) The LCM of 4108 and 4100 is associative

LCM of 4100 and 4108 = LCM of 4108 and 4100

Related Least Common Multiples of 4100

Related Least Common Multiples of 4108

Frequently Asked Questions on LCM of 4100 and 4108

1. What is the LCM of 4100 and 4108?

Answer: LCM of 4100 and 4108 is 4210700.

2. What are the Factors of 4100?

Answer: Factors of 4100 are 1, 2, 4, 5, 10, 20, 25, 41, 50, 82, 100, 164, 205, 410, 820, 1025, 2050, 4100. There are 18 integers that are factors of 4100. The greatest factor of 4100 is 4100.

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 4100 and 4108?

Answer:

Least Common Multiple of 4100 and 4108 = 4210700

Step 1: Find the prime factorization of 4100

4100 = 2 x 2 x 5 x 5 x 41

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 = 4210700 = 2 x 2 x 5 x 5 x 13 x 41 x 79

Step 4: Therefore, the least common multiple of 4100 and 4108 is 4210700.