Least Common Multiple of 3103 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 3103 and 3104 the smallest integer that is 9631712 that is divisible by both numbers.

Least Common Multiple (LCM) of 3103 and 3104 is 9631712.

LCM(3103,3104) = 9631712

LCM of 3103 and 3104

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

LCM of:
and

Least Common Multiple of 3103 and 3104

LCM of 3103 and 3104 is 9631712

Least common multiple can be found by multiplying the highest exponent prime factors of 3103 and 3104. First we will calculate the prime factors of 3103 and 3104.

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

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 3103 and 3104.

LCM(3103,3104) = 25×291×971×1071
LCM(3103,3104) = 9631712

Factors of 3103

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

1, 29, 107, 3103

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 3103 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 3103 and 3104, than apply into the LCM equation.

GCF(3103,3104) = 1
LCM(3103,3104) = ( 3103 × 3104) / 1
LCM(3103,3104) = 9631712 / 1
LCM(3103,3104) = 9631712

Properties of LCM 3103 and 3104

(i) The LCM of 3104 and 3103 is associative

LCM of 3103 and 3104 = LCM of 3104 and 3103

Related Least Common Multiples of 3103

Related Least Common Multiples of 3104

Frequently Asked Questions on LCM of 3103 and 3104

1. What is the LCM of 3103 and 3104?

Answer: LCM of 3103 and 3104 is 9631712.

2. 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.

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 3103 and 3104?

Answer:

Least Common Multiple of 3103 and 3104 = 9631712

Step 1: Find the prime factorization of 3103

3103 = 29 x 107

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 = 9631712 = 2 x 2 x 2 x 2 x 2 x 29 x 97 x 107

Step 4: Therefore, the least common multiple of 3103 and 3104 is 9631712.