Least Common Multiple of 2068 and 2076

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2068 and 2076 the smallest integer that is 1073292 that is divisible by both numbers.

Least Common Multiple (LCM) of 2068 and 2076 is 1073292.

LCM(2068,2076) = 1073292

LCM of 2068 and 2076

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

LCM of:
and

Least Common Multiple of 2068 and 2076

LCM of 2068 and 2076 is 1073292

Least common multiple can be found by multiplying the highest exponent prime factors of 2068 and 2076. First we will calculate the prime factors of 2068 and 2076.

Prime Factorization of 2068


2 2068
2 1034
11 517
47 47
1

Prime factors of 2068 are 2, 11,47. Prime factorization of 2068 in exponential form is:

2068 = 22×111×471

Prime Factorization of 2076


2 2076
2 1038
3 519
173 173
1

Prime factors of 2076 are 2, 3,173. Prime factorization of 2076 in exponential form is:

2076 = 22×31×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 2068 and 2076.

LCM(2068,2076) = 22×31×111×471×1731
LCM(2068,2076) = 1073292

Factors of 2068

List of positive integer factors of 2068 that divides 2068 without a remainder.

1, 2, 4, 11, 22, 44, 47, 94, 188, 517, 1034, 2068

Factors of 2076

List of positive integer factors of 2076 that divides 2076 without a remainder.

1, 2, 3, 4, 6, 12, 173, 346, 519, 692, 1038, 2076

Least Common Multiple of 2068 and 2076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2068 and 2076, than apply into the LCM equation.

GCF(2068,2076) = 4
LCM(2068,2076) = ( 2068 × 2076) / 4
LCM(2068,2076) = 4293168 / 4
LCM(2068,2076) = 1073292

Properties of LCM 2068 and 2076

(i) The LCM of 2076 and 2068 is associative

LCM of 2068 and 2076 = LCM of 2076 and 2068

Related Least Common Multiples of 2068

Related Least Common Multiples of 2076

Frequently Asked Questions on LCM of 2068 and 2076

1. What is the LCM of 2068 and 2076?

Answer: LCM of 2068 and 2076 is 1073292.

2. What are the Factors of 2068?

Answer: Factors of 2068 are 1, 2, 4, 11, 22, 44, 47, 94, 188, 517, 1034, 2068. There are 12 integers that are factors of 2068. The greatest factor of 2068 is 2068.

3. What are the Factors of 2076?

Answer: Factors of 2076 are 1, 2, 3, 4, 6, 12, 173, 346, 519, 692, 1038, 2076. There are 12 integers that are factors of 2076. The greatest factor of 2076 is 2076.

4. How to Find the LCM of 2068 and 2076?

Answer:

Least Common Multiple of 2068 and 2076 = 1073292

Step 1: Find the prime factorization of 2068

2068 = 2 x 2 x 11 x 47

Step 2: Find the prime factorization of 2076

2076 = 2 x 2 x 3 x 173

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

LCM = 1073292 = 2 x 2 x 3 x 11 x 47 x 173

Step 4: Therefore, the least common multiple of 2068 and 2076 is 1073292.