Least Common Multiple of 3096 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 3096 and 3104 the smallest integer that is 1201248 that is divisible by both numbers.

Least Common Multiple (LCM) of 3096 and 3104 is 1201248.

LCM(3096,3104) = 1201248

LCM of 3096 and 3104

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

LCM of:
and

Least Common Multiple of 3096 and 3104

LCM of 3096 and 3104 is 1201248

Least common multiple can be found by multiplying the highest exponent prime factors of 3096 and 3104. First we will calculate the prime factors of 3096 and 3104.

Prime Factorization of 3096


2 3096
2 1548
2 774
3 387
3 129
43 43
1

Prime factors of 3096 are 2, 3,43. Prime factorization of 3096 in exponential form is:

3096 = 23×32×431

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 3096 and 3104.

LCM(3096,3104) = 25×32×431×971
LCM(3096,3104) = 1201248

Factors of 3096

List of positive integer factors of 3096 that divides 3096 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 43, 72, 86, 129, 172, 258, 344, 387, 516, 774, 1032, 1548, 3096

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 3096 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 3096 and 3104, than apply into the LCM equation.

GCF(3096,3104) = 8
LCM(3096,3104) = ( 3096 × 3104) / 8
LCM(3096,3104) = 9609984 / 8
LCM(3096,3104) = 1201248

Properties of LCM 3096 and 3104

(i) The LCM of 3104 and 3096 is associative

LCM of 3096 and 3104 = LCM of 3104 and 3096

Related Least Common Multiples of 3096

Related Least Common Multiples of 3104

Frequently Asked Questions on LCM of 3096 and 3104

1. What is the LCM of 3096 and 3104?

Answer: LCM of 3096 and 3104 is 1201248.

2. What are the Factors of 3096?

Answer: Factors of 3096 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 43, 72, 86, 129, 172, 258, 344, 387, 516, 774, 1032, 1548, 3096. There are 24 integers that are factors of 3096. The greatest factor of 3096 is 3096.

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 3096 and 3104?

Answer:

Least Common Multiple of 3096 and 3104 = 1201248

Step 1: Find the prime factorization of 3096

3096 = 2 x 2 x 2 x 3 x 3 x 43

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 = 1201248 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 43 x 97

Step 4: Therefore, the least common multiple of 3096 and 3104 is 1201248.