Least Common Multiple of 2120 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 2120 and 2126 the smallest integer that is 2253560 that is divisible by both numbers.

Least Common Multiple (LCM) of 2120 and 2126 is 2253560.

LCM(2120,2126) = 2253560

LCM of 2120 and 2126

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

LCM of:
and

Least Common Multiple of 2120 and 2126

LCM of 2120 and 2126 is 2253560

Least common multiple can be found by multiplying the highest exponent prime factors of 2120 and 2126. First we will calculate the prime factors of 2120 and 2126.

Prime Factorization of 2120


2 2120
2 1060
2 530
5 265
53 53
1

Prime factors of 2120 are 2, 5,53. Prime factorization of 2120 in exponential form is:

2120 = 23×51×531

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 2120 and 2126.

LCM(2120,2126) = 23×51×531×10631
LCM(2120,2126) = 2253560

Factors of 2120

List of positive integer factors of 2120 that divides 2120 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 53, 106, 212, 265, 424, 530, 1060, 2120

Factors of 2126

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

1, 2, 1063, 2126

Least Common Multiple of 2120 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 2120 and 2126, than apply into the LCM equation.

GCF(2120,2126) = 2
LCM(2120,2126) = ( 2120 × 2126) / 2
LCM(2120,2126) = 4507120 / 2
LCM(2120,2126) = 2253560

Properties of LCM 2120 and 2126

(i) The LCM of 2126 and 2120 is associative

LCM of 2120 and 2126 = LCM of 2126 and 2120

Related Least Common Multiples of 2120

Related Least Common Multiples of 2126

Frequently Asked Questions on LCM of 2120 and 2126

1. What is the LCM of 2120 and 2126?

Answer: LCM of 2120 and 2126 is 2253560.

2. What are the Factors of 2120?

Answer: Factors of 2120 are 1, 2, 4, 5, 8, 10, 20, 40, 53, 106, 212, 265, 424, 530, 1060, 2120. There are 16 integers that are factors of 2120. The greatest factor of 2120 is 2120.

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 2120 and 2126?

Answer:

Least Common Multiple of 2120 and 2126 = 2253560

Step 1: Find the prime factorization of 2120

2120 = 2 x 2 x 2 x 5 x 53

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 = 2253560 = 2 x 2 x 2 x 5 x 53 x 1063

Step 4: Therefore, the least common multiple of 2120 and 2126 is 2253560.