Least Common Multiple of 2096 and 2104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2096 and 2104 the smallest integer that is 551248 that is divisible by both numbers.

Least Common Multiple (LCM) of 2096 and 2104 is 551248.

LCM(2096,2104) = 551248

LCM of 2096 and 2104

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

LCM of:
and

Least Common Multiple of 2096 and 2104

LCM of 2096 and 2104 is 551248

Least common multiple can be found by multiplying the highest exponent prime factors of 2096 and 2104. First we will calculate the prime factors of 2096 and 2104.

Prime Factorization of 2096


2 2096
2 1048
2 524
2 262
131 131
1

Prime factors of 2096 are 2,131. Prime factorization of 2096 in exponential form is:

2096 = 24×1311

Prime Factorization of 2104


2 2104
2 1052
2 526
263 263
1

Prime factors of 2104 are 2,263. Prime factorization of 2104 in exponential form is:

2104 = 23×2631

Now multiplying the highest exponent prime factors to calculate the LCM of 2096 and 2104.

LCM(2096,2104) = 24×1311×2631
LCM(2096,2104) = 551248

Factors of 2096

List of positive integer factors of 2096 that divides 2096 without a remainder.

1, 2, 4, 8, 16, 131, 262, 524, 1048, 2096

Factors of 2104

List of positive integer factors of 2104 that divides 2104 without a remainder.

1, 2, 4, 8, 263, 526, 1052, 2104

Least Common Multiple of 2096 and 2104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2096 and 2104, than apply into the LCM equation.

GCF(2096,2104) = 8
LCM(2096,2104) = ( 2096 × 2104) / 8
LCM(2096,2104) = 4409984 / 8
LCM(2096,2104) = 551248

Properties of LCM 2096 and 2104

(i) The LCM of 2104 and 2096 is associative

LCM of 2096 and 2104 = LCM of 2104 and 2096

Related Least Common Multiples of 2096

Related Least Common Multiples of 2104

Frequently Asked Questions on LCM of 2096 and 2104

1. What is the LCM of 2096 and 2104?

Answer: LCM of 2096 and 2104 is 551248.

2. What are the Factors of 2096?

Answer: Factors of 2096 are 1, 2, 4, 8, 16, 131, 262, 524, 1048, 2096. There are 10 integers that are factors of 2096. The greatest factor of 2096 is 2096.

3. What are the Factors of 2104?

Answer: Factors of 2104 are 1, 2, 4, 8, 263, 526, 1052, 2104. There are 8 integers that are factors of 2104. The greatest factor of 2104 is 2104.

4. How to Find the LCM of 2096 and 2104?

Answer:

Least Common Multiple of 2096 and 2104 = 551248

Step 1: Find the prime factorization of 2096

2096 = 2 x 2 x 2 x 2 x 131

Step 2: Find the prime factorization of 2104

2104 = 2 x 2 x 2 x 263

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

LCM = 551248 = 2 x 2 x 2 x 2 x 131 x 263

Step 4: Therefore, the least common multiple of 2096 and 2104 is 551248.