Least Common Multiple of 2121 and 2126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2121 and 2126 the smallest integer that is 4509246 that is divisible by both numbers.

Least Common Multiple (LCM) of 2121 and 2126 is 4509246.

LCM(2121,2126) = 4509246

LCM of 2121 and 2126

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

LCM of:
and

Least Common Multiple of 2121 and 2126

LCM of 2121 and 2126 is 4509246

Least common multiple can be found by multiplying the highest exponent prime factors of 2121 and 2126. First we will calculate the prime factors of 2121 and 2126.

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

Prime Factorization of 2126


2 2126
1063 1063
1

Prime factors of 2126 are 2,1063. Prime factorization of 2126 in exponential form is:

2126 = 21×10631

Now multiplying the highest exponent prime factors to calculate the LCM of 2121 and 2126.

LCM(2121,2126) = 21×31×71×1011×10631
LCM(2121,2126) = 4509246

Factors of 2121

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

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

Factors of 2126

List of positive integer factors of 2126 that divides 2126 without a remainder.

1, 2, 1063, 2126

Least Common Multiple of 2121 and 2126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2121 and 2126, than apply into the LCM equation.

GCF(2121,2126) = 1
LCM(2121,2126) = ( 2121 × 2126) / 1
LCM(2121,2126) = 4509246 / 1
LCM(2121,2126) = 4509246

Properties of LCM 2121 and 2126

(i) The LCM of 2126 and 2121 is associative

LCM of 2121 and 2126 = LCM of 2126 and 2121

Related Least Common Multiples of 2121

Related Least Common Multiples of 2126

Frequently Asked Questions on LCM of 2121 and 2126

1. What is the LCM of 2121 and 2126?

Answer: LCM of 2121 and 2126 is 4509246.

2. 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.

3. What are the Factors of 2126?

Answer: Factors of 2126 are 1, 2, 1063, 2126. There are 4 integers that are factors of 2126. The greatest factor of 2126 is 2126.

4. How to Find the LCM of 2121 and 2126?

Answer:

Least Common Multiple of 2121 and 2126 = 4509246

Step 1: Find the prime factorization of 2121

2121 = 3 x 7 x 101

Step 2: Find the prime factorization of 2126

2126 = 2 x 1063

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

LCM = 4509246 = 2 x 3 x 7 x 101 x 1063

Step 4: Therefore, the least common multiple of 2121 and 2126 is 4509246.