Least Common Multiple of 2106 and 2113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2106 and 2113 the smallest integer that is 4449978 that is divisible by both numbers.

Least Common Multiple (LCM) of 2106 and 2113 is 4449978.

LCM(2106,2113) = 4449978

LCM of 2106 and 2113

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

LCM of:
and

Least Common Multiple of 2106 and 2113

LCM of 2106 and 2113 is 4449978

Least common multiple can be found by multiplying the highest exponent prime factors of 2106 and 2113. First we will calculate the prime factors of 2106 and 2113.

Prime Factorization of 2106


2 2106
3 1053
3 351
3 117
3 39
13 13
1

Prime factors of 2106 are 2, 3,13. Prime factorization of 2106 in exponential form is:

2106 = 21×34×131

Prime Factorization of 2113


2113 2113
1

Prime factors of 2113 are 2113. Prime factorization of 2113 in exponential form is:

2113 = 21131

Now multiplying the highest exponent prime factors to calculate the LCM of 2106 and 2113.

LCM(2106,2113) = 21×34×131×21131
LCM(2106,2113) = 4449978

Factors of 2106

List of positive integer factors of 2106 that divides 2106 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 81, 117, 162, 234, 351, 702, 1053, 2106

Factors of 2113

List of positive integer factors of 2113 that divides 2113 without a remainder.

1, 2113

Least Common Multiple of 2106 and 2113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2106 and 2113, than apply into the LCM equation.

GCF(2106,2113) = 1
LCM(2106,2113) = ( 2106 × 2113) / 1
LCM(2106,2113) = 4449978 / 1
LCM(2106,2113) = 4449978

Properties of LCM 2106 and 2113

(i) The LCM of 2113 and 2106 is associative

LCM of 2106 and 2113 = LCM of 2113 and 2106

Related Least Common Multiples of 2106

Related Least Common Multiples of 2113

Frequently Asked Questions on LCM of 2106 and 2113

1. What is the LCM of 2106 and 2113?

Answer: LCM of 2106 and 2113 is 4449978.

2. What are the Factors of 2106?

Answer: Factors of 2106 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 81, 117, 162, 234, 351, 702, 1053, 2106. There are 20 integers that are factors of 2106. The greatest factor of 2106 is 2106.

3. What are the Factors of 2113?

Answer: Factors of 2113 are 1, 2113. There are 2 integers that are factors of 2113. The greatest factor of 2113 is 2113.

4. How to Find the LCM of 2106 and 2113?

Answer:

Least Common Multiple of 2106 and 2113 = 4449978

Step 1: Find the prime factorization of 2106

2106 = 2 x 3 x 3 x 3 x 3 x 13

Step 2: Find the prime factorization of 2113

2113 = 2113

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

LCM = 4449978 = 2 x 3 x 3 x 3 x 3 x 13 x 2113

Step 4: Therefore, the least common multiple of 2106 and 2113 is 4449978.