Least Common Multiple of 2064 and 2068

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2064 and 2068 the smallest integer that is 1067088 that is divisible by both numbers.

Least Common Multiple (LCM) of 2064 and 2068 is 1067088.

LCM(2064,2068) = 1067088

LCM of 2064 and 2068

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

LCM of:
and

Least Common Multiple of 2064 and 2068

LCM of 2064 and 2068 is 1067088

Least common multiple can be found by multiplying the highest exponent prime factors of 2064 and 2068. First we will calculate the prime factors of 2064 and 2068.

Prime Factorization of 2064


2 2064
2 1032
2 516
2 258
3 129
43 43
1

Prime factors of 2064 are 2, 3,43. Prime factorization of 2064 in exponential form is:

2064 = 24×31×431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2064 and 2068.

LCM(2064,2068) = 24×31×111×431×471
LCM(2064,2068) = 1067088

Factors of 2064

List of positive integer factors of 2064 that divides 2064 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 43, 48, 86, 129, 172, 258, 344, 516, 688, 1032, 2064

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

Least Common Multiple of 2064 and 2068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2064 and 2068, than apply into the LCM equation.

GCF(2064,2068) = 4
LCM(2064,2068) = ( 2064 × 2068) / 4
LCM(2064,2068) = 4268352 / 4
LCM(2064,2068) = 1067088

Properties of LCM 2064 and 2068

(i) The LCM of 2068 and 2064 is associative

LCM of 2064 and 2068 = LCM of 2068 and 2064

Related Least Common Multiples of 2064

Related Least Common Multiples of 2068

Frequently Asked Questions on LCM of 2064 and 2068

1. What is the LCM of 2064 and 2068?

Answer: LCM of 2064 and 2068 is 1067088.

2. What are the Factors of 2064?

Answer: Factors of 2064 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 43, 48, 86, 129, 172, 258, 344, 516, 688, 1032, 2064. There are 20 integers that are factors of 2064. The greatest factor of 2064 is 2064.

3. 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.

4. How to Find the LCM of 2064 and 2068?

Answer:

Least Common Multiple of 2064 and 2068 = 1067088

Step 1: Find the prime factorization of 2064

2064 = 2 x 2 x 2 x 2 x 3 x 43

Step 2: Find the prime factorization of 2068

2068 = 2 x 2 x 11 x 47

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

LCM = 1067088 = 2 x 2 x 2 x 2 x 3 x 11 x 43 x 47

Step 4: Therefore, the least common multiple of 2064 and 2068 is 1067088.