Least Common Multiple of 6100 and 6108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6100 and 6108 the smallest integer that is 9314700 that is divisible by both numbers.

Least Common Multiple (LCM) of 6100 and 6108 is 9314700.

LCM(6100,6108) = 9314700

LCM of 6100 and 6108

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

LCM of:
and

Least Common Multiple of 6100 and 6108

LCM of 6100 and 6108 is 9314700

Least common multiple can be found by multiplying the highest exponent prime factors of 6100 and 6108. First we will calculate the prime factors of 6100 and 6108.

Prime Factorization of 6100


2 6100
2 3050
5 1525
5 305
61 61
1

Prime factors of 6100 are 2, 5,61. Prime factorization of 6100 in exponential form is:

6100 = 22×52×611

Prime Factorization of 6108


2 6108
2 3054
3 1527
509 509
1

Prime factors of 6108 are 2, 3,509. Prime factorization of 6108 in exponential form is:

6108 = 22×31×5091

Now multiplying the highest exponent prime factors to calculate the LCM of 6100 and 6108.

LCM(6100,6108) = 22×31×52×611×5091
LCM(6100,6108) = 9314700

Factors of 6100

List of positive integer factors of 6100 that divides 6100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 61, 100, 122, 244, 305, 610, 1220, 1525, 3050, 6100

Factors of 6108

List of positive integer factors of 6108 that divides 6108 without a remainder.

1, 2, 3, 4, 6, 12, 509, 1018, 1527, 2036, 3054, 6108

Least Common Multiple of 6100 and 6108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6100 and 6108, than apply into the LCM equation.

GCF(6100,6108) = 4
LCM(6100,6108) = ( 6100 × 6108) / 4
LCM(6100,6108) = 37258800 / 4
LCM(6100,6108) = 9314700

Properties of LCM 6100 and 6108

(i) The LCM of 6108 and 6100 is associative

LCM of 6100 and 6108 = LCM of 6108 and 6100

Related Least Common Multiples of 6100

Related Least Common Multiples of 6108

Frequently Asked Questions on LCM of 6100 and 6108

1. What is the LCM of 6100 and 6108?

Answer: LCM of 6100 and 6108 is 9314700.

2. What are the Factors of 6100?

Answer: Factors of 6100 are 1, 2, 4, 5, 10, 20, 25, 50, 61, 100, 122, 244, 305, 610, 1220, 1525, 3050, 6100. There are 18 integers that are factors of 6100. The greatest factor of 6100 is 6100.

3. What are the Factors of 6108?

Answer: Factors of 6108 are 1, 2, 3, 4, 6, 12, 509, 1018, 1527, 2036, 3054, 6108. There are 12 integers that are factors of 6108. The greatest factor of 6108 is 6108.

4. How to Find the LCM of 6100 and 6108?

Answer:

Least Common Multiple of 6100 and 6108 = 9314700

Step 1: Find the prime factorization of 6100

6100 = 2 x 2 x 5 x 5 x 61

Step 2: Find the prime factorization of 6108

6108 = 2 x 2 x 3 x 509

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

LCM = 9314700 = 2 x 2 x 3 x 5 x 5 x 61 x 509

Step 4: Therefore, the least common multiple of 6100 and 6108 is 9314700.