Least Common Multiple of 2113 and 2117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2113 and 2117 the smallest integer that is 4473221 that is divisible by both numbers.

Least Common Multiple (LCM) of 2113 and 2117 is 4473221.

LCM(2113,2117) = 4473221

LCM of 2113 and 2117

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

LCM of:
and

Least Common Multiple of 2113 and 2117

LCM of 2113 and 2117 is 4473221

Least common multiple can be found by multiplying the highest exponent prime factors of 2113 and 2117. First we will calculate the prime factors of 2113 and 2117.

Prime Factorization of 2113


2113 2113
1

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

2113 = 21131

Prime Factorization of 2117


29 2117
73 73
1

Prime factors of 2117 are 29,73. Prime factorization of 2117 in exponential form is:

2117 = 291×731

Now multiplying the highest exponent prime factors to calculate the LCM of 2113 and 2117.

LCM(2113,2117) = 291×731×21131
LCM(2113,2117) = 4473221

Factors of 2113

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

1, 2113

Factors of 2117

List of positive integer factors of 2117 that divides 2117 without a remainder.

1, 29, 73, 2117

Least Common Multiple of 2113 and 2117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2113 and 2117, than apply into the LCM equation.

GCF(2113,2117) = 1
LCM(2113,2117) = ( 2113 × 2117) / 1
LCM(2113,2117) = 4473221 / 1
LCM(2113,2117) = 4473221

Properties of LCM 2113 and 2117

(i) The LCM of 2117 and 2113 is associative

LCM of 2113 and 2117 = LCM of 2117 and 2113

Related Least Common Multiples of 2113

Related Least Common Multiples of 2117

Frequently Asked Questions on LCM of 2113 and 2117

1. What is the LCM of 2113 and 2117?

Answer: LCM of 2113 and 2117 is 4473221.

2. 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.

3. What are the Factors of 2117?

Answer: Factors of 2117 are 1, 29, 73, 2117. There are 4 integers that are factors of 2117. The greatest factor of 2117 is 2117.

4. How to Find the LCM of 2113 and 2117?

Answer:

Least Common Multiple of 2113 and 2117 = 4473221

Step 1: Find the prime factorization of 2113

2113 = 2113

Step 2: Find the prime factorization of 2117

2117 = 29 x 73

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

LCM = 4473221 = 29 x 73 x 2113

Step 4: Therefore, the least common multiple of 2113 and 2117 is 4473221.