Least Common Multiple of 3100 and 3104

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 3104 the smallest integer that is 2405600 that is divisible by both numbers.

Least Common Multiple (LCM) of 3100 and 3104 is 2405600.

LCM(3100,3104) = 2405600

LCM of 3100 and 3104

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

LCM of:
and

Least Common Multiple of 3100 and 3104

LCM of 3100 and 3104 is 2405600

Least common multiple can be found by multiplying the highest exponent prime factors of 3100 and 3104. First we will calculate the prime factors of 3100 and 3104.

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 3104


2 3104
2 1552
2 776
2 388
2 194
97 97
1

Prime factors of 3104 are 2,97. Prime factorization of 3104 in exponential form is:

3104 = 25×971

Now multiplying the highest exponent prime factors to calculate the LCM of 3100 and 3104.

LCM(3100,3104) = 25×52×311×971
LCM(3100,3104) = 2405600

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 3104

List of positive integer factors of 3104 that divides 3104 without a remainder.

1, 2, 4, 8, 16, 32, 97, 194, 388, 776, 1552, 3104

Least Common Multiple of 3100 and 3104 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 3104, than apply into the LCM equation.

GCF(3100,3104) = 4
LCM(3100,3104) = ( 3100 × 3104) / 4
LCM(3100,3104) = 9622400 / 4
LCM(3100,3104) = 2405600

Properties of LCM 3100 and 3104

(i) The LCM of 3104 and 3100 is associative

LCM of 3100 and 3104 = LCM of 3104 and 3100

Related Least Common Multiples of 3100

Related Least Common Multiples of 3104

Frequently Asked Questions on LCM of 3100 and 3104

1. What is the LCM of 3100 and 3104?

Answer: LCM of 3100 and 3104 is 2405600.

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 3104?

Answer: Factors of 3104 are 1, 2, 4, 8, 16, 32, 97, 194, 388, 776, 1552, 3104. There are 12 integers that are factors of 3104. The greatest factor of 3104 is 3104.

4. How to Find the LCM of 3100 and 3104?

Answer:

Least Common Multiple of 3100 and 3104 = 2405600

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 3104

3104 = 2 x 2 x 2 x 2 x 2 x 97

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

LCM = 2405600 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 31 x 97

Step 4: Therefore, the least common multiple of 3100 and 3104 is 2405600.