Least Common Multiple of 3104 and 3109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3104 and 3109 the smallest integer that is 9650336 that is divisible by both numbers.

Least Common Multiple (LCM) of 3104 and 3109 is 9650336.

LCM(3104,3109) = 9650336

LCM of 3104 and 3109

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

LCM of:
and

Least Common Multiple of 3104 and 3109

LCM of 3104 and 3109 is 9650336

Least common multiple can be found by multiplying the highest exponent prime factors of 3104 and 3109. First we will calculate the prime factors of 3104 and 3109.

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

Prime Factorization of 3109


3109 3109
1

Prime factors of 3109 are 3109. Prime factorization of 3109 in exponential form is:

3109 = 31091

Now multiplying the highest exponent prime factors to calculate the LCM of 3104 and 3109.

LCM(3104,3109) = 25×971×31091
LCM(3104,3109) = 9650336

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

Factors of 3109

List of positive integer factors of 3109 that divides 3109 without a remainder.

1, 3109

Least Common Multiple of 3104 and 3109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3104 and 3109, than apply into the LCM equation.

GCF(3104,3109) = 1
LCM(3104,3109) = ( 3104 × 3109) / 1
LCM(3104,3109) = 9650336 / 1
LCM(3104,3109) = 9650336

Properties of LCM 3104 and 3109

(i) The LCM of 3109 and 3104 is associative

LCM of 3104 and 3109 = LCM of 3109 and 3104

Related Least Common Multiples of 3104

Related Least Common Multiples of 3109

Frequently Asked Questions on LCM of 3104 and 3109

1. What is the LCM of 3104 and 3109?

Answer: LCM of 3104 and 3109 is 9650336.

2. 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.

3. What are the Factors of 3109?

Answer: Factors of 3109 are 1, 3109. There are 2 integers that are factors of 3109. The greatest factor of 3109 is 3109.

4. How to Find the LCM of 3104 and 3109?

Answer:

Least Common Multiple of 3104 and 3109 = 9650336

Step 1: Find the prime factorization of 3104

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

Step 2: Find the prime factorization of 3109

3109 = 3109

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

LCM = 9650336 = 2 x 2 x 2 x 2 x 2 x 97 x 3109

Step 4: Therefore, the least common multiple of 3104 and 3109 is 9650336.