Least Common Multiple of 3100 and 3103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3100 and 3103 the smallest integer that is 9619300 that is divisible by both numbers.

Least Common Multiple (LCM) of 3100 and 3103 is 9619300.

LCM(3100,3103) = 9619300

LCM of 3100 and 3103

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

LCM of:
and

Least Common Multiple of 3100 and 3103

LCM of 3100 and 3103 is 9619300

Least common multiple can be found by multiplying the highest exponent prime factors of 3100 and 3103. First we will calculate the prime factors of 3100 and 3103.

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

Prime Factorization of 3103


29 3103
107 107
1

Prime factors of 3103 are 29,107. Prime factorization of 3103 in exponential form is:

3103 = 291×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 3100 and 3103.

LCM(3100,3103) = 22×52×291×311×1071
LCM(3100,3103) = 9619300

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

Factors of 3103

List of positive integer factors of 3103 that divides 3103 without a remainder.

1, 29, 107, 3103

Least Common Multiple of 3100 and 3103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3100 and 3103, than apply into the LCM equation.

GCF(3100,3103) = 1
LCM(3100,3103) = ( 3100 × 3103) / 1
LCM(3100,3103) = 9619300 / 1
LCM(3100,3103) = 9619300

Properties of LCM 3100 and 3103

(i) The LCM of 3103 and 3100 is associative

LCM of 3100 and 3103 = LCM of 3103 and 3100

Related Least Common Multiples of 3100

Related Least Common Multiples of 3103

Frequently Asked Questions on LCM of 3100 and 3103

1. What is the LCM of 3100 and 3103?

Answer: LCM of 3100 and 3103 is 9619300.

2. 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.

3. What are the Factors of 3103?

Answer: Factors of 3103 are 1, 29, 107, 3103. There are 4 integers that are factors of 3103. The greatest factor of 3103 is 3103.

4. How to Find the LCM of 3100 and 3103?

Answer:

Least Common Multiple of 3100 and 3103 = 9619300

Step 1: Find the prime factorization of 3100

3100 = 2 x 2 x 5 x 5 x 31

Step 2: Find the prime factorization of 3103

3103 = 29 x 107

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

LCM = 9619300 = 2 x 2 x 5 x 5 x 29 x 31 x 107

Step 4: Therefore, the least common multiple of 3100 and 3103 is 9619300.