Least Common Multiple of 2115 and 2121

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 2121 the smallest integer that is 1495305 that is divisible by both numbers.

Least Common Multiple (LCM) of 2115 and 2121 is 1495305.

LCM(2115,2121) = 1495305

LCM of 2115 and 2121

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

LCM of:
and

Least Common Multiple of 2115 and 2121

LCM of 2115 and 2121 is 1495305

Least common multiple can be found by multiplying the highest exponent prime factors of 2115 and 2121. First we will calculate the prime factors of 2115 and 2121.

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 2121


3 2121
7 707
101 101
1

Prime factors of 2121 are 3, 7,101. Prime factorization of 2121 in exponential form is:

2121 = 31×71×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 2115 and 2121.

LCM(2115,2121) = 32×51×71×471×1011
LCM(2115,2121) = 1495305

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 2121

List of positive integer factors of 2121 that divides 2121 without a remainder.

1, 3, 7, 21, 101, 303, 707, 2121

Least Common Multiple of 2115 and 2121 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 2121, than apply into the LCM equation.

GCF(2115,2121) = 3
LCM(2115,2121) = ( 2115 × 2121) / 3
LCM(2115,2121) = 4485915 / 3
LCM(2115,2121) = 1495305

Properties of LCM 2115 and 2121

(i) The LCM of 2121 and 2115 is associative

LCM of 2115 and 2121 = LCM of 2121 and 2115

Related Least Common Multiples of 2115

Related Least Common Multiples of 2121

Frequently Asked Questions on LCM of 2115 and 2121

1. What is the LCM of 2115 and 2121?

Answer: LCM of 2115 and 2121 is 1495305.

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 2121?

Answer: Factors of 2121 are 1, 3, 7, 21, 101, 303, 707, 2121. There are 8 integers that are factors of 2121. The greatest factor of 2121 is 2121.

4. How to Find the LCM of 2115 and 2121?

Answer:

Least Common Multiple of 2115 and 2121 = 1495305

Step 1: Find the prime factorization of 2115

2115 = 3 x 3 x 5 x 47

Step 2: Find the prime factorization of 2121

2121 = 3 x 7 x 101

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

LCM = 1495305 = 3 x 3 x 5 x 7 x 47 x 101

Step 4: Therefore, the least common multiple of 2115 and 2121 is 1495305.