Least Common Multiple of 2102 and 2108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2102 and 2108 the smallest integer that is 2215508 that is divisible by both numbers.

Least Common Multiple (LCM) of 2102 and 2108 is 2215508.

LCM(2102,2108) = 2215508

LCM of 2102 and 2108

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

LCM of:
and

Least Common Multiple of 2102 and 2108

LCM of 2102 and 2108 is 2215508

Least common multiple can be found by multiplying the highest exponent prime factors of 2102 and 2108. First we will calculate the prime factors of 2102 and 2108.

Prime Factorization of 2102


2 2102
1051 1051
1

Prime factors of 2102 are 2,1051. Prime factorization of 2102 in exponential form is:

2102 = 21×10511

Prime Factorization of 2108


2 2108
2 1054
17 527
31 31
1

Prime factors of 2108 are 2, 17,31. Prime factorization of 2108 in exponential form is:

2108 = 22×171×311

Now multiplying the highest exponent prime factors to calculate the LCM of 2102 and 2108.

LCM(2102,2108) = 22×171×311×10511
LCM(2102,2108) = 2215508

Factors of 2102

List of positive integer factors of 2102 that divides 2102 without a remainder.

1, 2, 1051, 2102

Factors of 2108

List of positive integer factors of 2108 that divides 2108 without a remainder.

1, 2, 4, 17, 31, 34, 62, 68, 124, 527, 1054, 2108

Least Common Multiple of 2102 and 2108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2102 and 2108, than apply into the LCM equation.

GCF(2102,2108) = 2
LCM(2102,2108) = ( 2102 × 2108) / 2
LCM(2102,2108) = 4431016 / 2
LCM(2102,2108) = 2215508

Properties of LCM 2102 and 2108

(i) The LCM of 2108 and 2102 is associative

LCM of 2102 and 2108 = LCM of 2108 and 2102

Related Least Common Multiples of 2102

Related Least Common Multiples of 2108

Frequently Asked Questions on LCM of 2102 and 2108

1. What is the LCM of 2102 and 2108?

Answer: LCM of 2102 and 2108 is 2215508.

2. What are the Factors of 2102?

Answer: Factors of 2102 are 1, 2, 1051, 2102. There are 4 integers that are factors of 2102. The greatest factor of 2102 is 2102.

3. What are the Factors of 2108?

Answer: Factors of 2108 are 1, 2, 4, 17, 31, 34, 62, 68, 124, 527, 1054, 2108. There are 12 integers that are factors of 2108. The greatest factor of 2108 is 2108.

4. How to Find the LCM of 2102 and 2108?

Answer:

Least Common Multiple of 2102 and 2108 = 2215508

Step 1: Find the prime factorization of 2102

2102 = 2 x 1051

Step 2: Find the prime factorization of 2108

2108 = 2 x 2 x 17 x 31

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

LCM = 2215508 = 2 x 2 x 17 x 31 x 1051

Step 4: Therefore, the least common multiple of 2102 and 2108 is 2215508.