Least Common Multiple of 3097 and 3100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3097 and 3100 the smallest integer that is 9600700 that is divisible by both numbers.

Least Common Multiple (LCM) of 3097 and 3100 is 9600700.

LCM(3097,3100) = 9600700

LCM of 3097 and 3100

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

LCM of:
and

Least Common Multiple of 3097 and 3100

LCM of 3097 and 3100 is 9600700

Least common multiple can be found by multiplying the highest exponent prime factors of 3097 and 3100. First we will calculate the prime factors of 3097 and 3100.

Prime Factorization of 3097


19 3097
163 163
1

Prime factors of 3097 are 19,163. Prime factorization of 3097 in exponential form is:

3097 = 191×1631

Prime Factorization of 3100


2 3100
2 1550
5 775
5 155
31 31
1

Prime factors of 3100 are 2, 5,31. Prime factorization of 3100 in exponential form is:

3100 = 22×52×311

Now multiplying the highest exponent prime factors to calculate the LCM of 3097 and 3100.

LCM(3097,3100) = 22×52×191×311×1631
LCM(3097,3100) = 9600700

Factors of 3097

List of positive integer factors of 3097 that divides 3097 without a remainder.

1, 19, 163, 3097

Factors of 3100

List of positive integer factors of 3100 that divides 3100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 31, 50, 62, 100, 124, 155, 310, 620, 775, 1550, 3100

Least Common Multiple of 3097 and 3100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3097 and 3100, than apply into the LCM equation.

GCF(3097,3100) = 1
LCM(3097,3100) = ( 3097 × 3100) / 1
LCM(3097,3100) = 9600700 / 1
LCM(3097,3100) = 9600700

Properties of LCM 3097 and 3100

(i) The LCM of 3100 and 3097 is associative

LCM of 3097 and 3100 = LCM of 3100 and 3097

Related Least Common Multiples of 3097

Related Least Common Multiples of 3100

Frequently Asked Questions on LCM of 3097 and 3100

1. What is the LCM of 3097 and 3100?

Answer: LCM of 3097 and 3100 is 9600700.

2. What are the Factors of 3097?

Answer: Factors of 3097 are 1, 19, 163, 3097. There are 4 integers that are factors of 3097. The greatest factor of 3097 is 3097.

3. What are the Factors of 3100?

Answer: Factors of 3100 are 1, 2, 4, 5, 10, 20, 25, 31, 50, 62, 100, 124, 155, 310, 620, 775, 1550, 3100. There are 18 integers that are factors of 3100. The greatest factor of 3100 is 3100.

4. How to Find the LCM of 3097 and 3100?

Answer:

Least Common Multiple of 3097 and 3100 = 9600700

Step 1: Find the prime factorization of 3097

3097 = 19 x 163

Step 2: Find the prime factorization of 3100

3100 = 2 x 2 x 5 x 5 x 31

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

LCM = 9600700 = 2 x 2 x 5 x 5 x 19 x 31 x 163

Step 4: Therefore, the least common multiple of 3097 and 3100 is 9600700.