Least Common Multiple of 6100 and 6107

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 6107 the smallest integer that is 37252700 that is divisible by both numbers.

Least Common Multiple (LCM) of 6100 and 6107 is 37252700.

LCM(6100,6107) = 37252700

LCM of 6100 and 6107

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

LCM of:
and

Least Common Multiple of 6100 and 6107

LCM of 6100 and 6107 is 37252700

Least common multiple can be found by multiplying the highest exponent prime factors of 6100 and 6107. First we will calculate the prime factors of 6100 and 6107.

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 6107


31 6107
197 197
1

Prime factors of 6107 are 31,197. Prime factorization of 6107 in exponential form is:

6107 = 311×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 6100 and 6107.

LCM(6100,6107) = 22×52×311×611×1971
LCM(6100,6107) = 37252700

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 6107

List of positive integer factors of 6107 that divides 6107 without a remainder.

1, 31, 197, 6107

Least Common Multiple of 6100 and 6107 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 6107, than apply into the LCM equation.

GCF(6100,6107) = 1
LCM(6100,6107) = ( 6100 × 6107) / 1
LCM(6100,6107) = 37252700 / 1
LCM(6100,6107) = 37252700

Properties of LCM 6100 and 6107

(i) The LCM of 6107 and 6100 is associative

LCM of 6100 and 6107 = LCM of 6107 and 6100

Related Least Common Multiples of 6100

Related Least Common Multiples of 6107

Frequently Asked Questions on LCM of 6100 and 6107

1. What is the LCM of 6100 and 6107?

Answer: LCM of 6100 and 6107 is 37252700.

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 6107?

Answer: Factors of 6107 are 1, 31, 197, 6107. There are 4 integers that are factors of 6107. The greatest factor of 6107 is 6107.

4. How to Find the LCM of 6100 and 6107?

Answer:

Least Common Multiple of 6100 and 6107 = 37252700

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 6107

6107 = 31 x 197

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

LCM = 37252700 = 2 x 2 x 5 x 5 x 31 x 61 x 197

Step 4: Therefore, the least common multiple of 6100 and 6107 is 37252700.