Least Common Multiple of 2115 and 2122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2115 and 2122 the smallest integer that is 4488030 that is divisible by both numbers.

Least Common Multiple (LCM) of 2115 and 2122 is 4488030.

LCM(2115,2122) = 4488030

LCM of 2115 and 2122

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

LCM of:
and

Least Common Multiple of 2115 and 2122

LCM of 2115 and 2122 is 4488030

Least common multiple can be found by multiplying the highest exponent prime factors of 2115 and 2122. First we will calculate the prime factors of 2115 and 2122.

Prime Factorization of 2115


3 2115
3 705
5 235
47 47
1

Prime factors of 2115 are 3, 5,47. Prime factorization of 2115 in exponential form is:

2115 = 32×51×471

Prime Factorization of 2122


2 2122
1061 1061
1

Prime factors of 2122 are 2,1061. Prime factorization of 2122 in exponential form is:

2122 = 21×10611

Now multiplying the highest exponent prime factors to calculate the LCM of 2115 and 2122.

LCM(2115,2122) = 21×32×51×471×10611
LCM(2115,2122) = 4488030

Factors of 2115

List of positive integer factors of 2115 that divides 2115 without a remainder.

1, 3, 5, 9, 15, 45, 47, 141, 235, 423, 705, 2115

Factors of 2122

List of positive integer factors of 2122 that divides 2122 without a remainder.

1, 2, 1061, 2122

Least Common Multiple of 2115 and 2122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2115 and 2122, than apply into the LCM equation.

GCF(2115,2122) = 1
LCM(2115,2122) = ( 2115 × 2122) / 1
LCM(2115,2122) = 4488030 / 1
LCM(2115,2122) = 4488030

Properties of LCM 2115 and 2122

(i) The LCM of 2122 and 2115 is associative

LCM of 2115 and 2122 = LCM of 2122 and 2115

Related Least Common Multiples of 2115

Related Least Common Multiples of 2122

Frequently Asked Questions on LCM of 2115 and 2122

1. What is the LCM of 2115 and 2122?

Answer: LCM of 2115 and 2122 is 4488030.

2. What are the Factors of 2115?

Answer: Factors of 2115 are 1, 3, 5, 9, 15, 45, 47, 141, 235, 423, 705, 2115. There are 12 integers that are factors of 2115. The greatest factor of 2115 is 2115.

3. What are the Factors of 2122?

Answer: Factors of 2122 are 1, 2, 1061, 2122. There are 4 integers that are factors of 2122. The greatest factor of 2122 is 2122.

4. How to Find the LCM of 2115 and 2122?

Answer:

Least Common Multiple of 2115 and 2122 = 4488030

Step 1: Find the prime factorization of 2115

2115 = 3 x 3 x 5 x 47

Step 2: Find the prime factorization of 2122

2122 = 2 x 1061

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

LCM = 4488030 = 2 x 3 x 3 x 5 x 47 x 1061

Step 4: Therefore, the least common multiple of 2115 and 2122 is 4488030.