Least Common Multiple of 2103 and 2105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2103 and 2105 the smallest integer that is 4426815 that is divisible by both numbers.

Least Common Multiple (LCM) of 2103 and 2105 is 4426815.

LCM(2103,2105) = 4426815

LCM of 2103 and 2105

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

LCM of:
and

Least Common Multiple of 2103 and 2105

LCM of 2103 and 2105 is 4426815

Least common multiple can be found by multiplying the highest exponent prime factors of 2103 and 2105. First we will calculate the prime factors of 2103 and 2105.

Prime Factorization of 2103


3 2103
701 701
1

Prime factors of 2103 are 3,701. Prime factorization of 2103 in exponential form is:

2103 = 31×7011

Prime Factorization of 2105


5 2105
421 421
1

Prime factors of 2105 are 5,421. Prime factorization of 2105 in exponential form is:

2105 = 51×4211

Now multiplying the highest exponent prime factors to calculate the LCM of 2103 and 2105.

LCM(2103,2105) = 31×51×4211×7011
LCM(2103,2105) = 4426815

Factors of 2103

List of positive integer factors of 2103 that divides 2103 without a remainder.

1, 3, 701, 2103

Factors of 2105

List of positive integer factors of 2105 that divides 2105 without a remainder.

1, 5, 421, 2105

Least Common Multiple of 2103 and 2105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2103 and 2105, than apply into the LCM equation.

GCF(2103,2105) = 1
LCM(2103,2105) = ( 2103 × 2105) / 1
LCM(2103,2105) = 4426815 / 1
LCM(2103,2105) = 4426815

Properties of LCM 2103 and 2105

(i) The LCM of 2105 and 2103 is associative

LCM of 2103 and 2105 = LCM of 2105 and 2103

Related Least Common Multiples of 2103

Related Least Common Multiples of 2105

Frequently Asked Questions on LCM of 2103 and 2105

1. What is the LCM of 2103 and 2105?

Answer: LCM of 2103 and 2105 is 4426815.

2. What are the Factors of 2103?

Answer: Factors of 2103 are 1, 3, 701, 2103. There are 4 integers that are factors of 2103. The greatest factor of 2103 is 2103.

3. What are the Factors of 2105?

Answer: Factors of 2105 are 1, 5, 421, 2105. There are 4 integers that are factors of 2105. The greatest factor of 2105 is 2105.

4. How to Find the LCM of 2103 and 2105?

Answer:

Least Common Multiple of 2103 and 2105 = 4426815

Step 1: Find the prime factorization of 2103

2103 = 3 x 701

Step 2: Find the prime factorization of 2105

2105 = 5 x 421

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

LCM = 4426815 = 3 x 5 x 421 x 701

Step 4: Therefore, the least common multiple of 2103 and 2105 is 4426815.