Least Common Multiple of 2064 and 2072

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 2072 the smallest integer that is 534576 that is divisible by both numbers.

Least Common Multiple (LCM) of 2064 and 2072 is 534576.

LCM(2064,2072) = 534576

LCM of 2064 and 2072

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

LCM of:
and

Least Common Multiple of 2064 and 2072

LCM of 2064 and 2072 is 534576

Least common multiple can be found by multiplying the highest exponent prime factors of 2064 and 2072. First we will calculate the prime factors of 2064 and 2072.

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 2072


2 2072
2 1036
2 518
7 259
37 37
1

Prime factors of 2072 are 2, 7,37. Prime factorization of 2072 in exponential form is:

2072 = 23×71×371

Now multiplying the highest exponent prime factors to calculate the LCM of 2064 and 2072.

LCM(2064,2072) = 24×31×71×371×431
LCM(2064,2072) = 534576

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 2072

List of positive integer factors of 2072 that divides 2072 without a remainder.

1, 2, 4, 7, 8, 14, 28, 37, 56, 74, 148, 259, 296, 518, 1036, 2072

Least Common Multiple of 2064 and 2072 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 2072, than apply into the LCM equation.

GCF(2064,2072) = 8
LCM(2064,2072) = ( 2064 × 2072) / 8
LCM(2064,2072) = 4276608 / 8
LCM(2064,2072) = 534576

Properties of LCM 2064 and 2072

(i) The LCM of 2072 and 2064 is associative

LCM of 2064 and 2072 = LCM of 2072 and 2064

Related Least Common Multiples of 2064

Related Least Common Multiples of 2072

Frequently Asked Questions on LCM of 2064 and 2072

1. What is the LCM of 2064 and 2072?

Answer: LCM of 2064 and 2072 is 534576.

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 2072?

Answer: Factors of 2072 are 1, 2, 4, 7, 8, 14, 28, 37, 56, 74, 148, 259, 296, 518, 1036, 2072. There are 16 integers that are factors of 2072. The greatest factor of 2072 is 2072.

4. How to Find the LCM of 2064 and 2072?

Answer:

Least Common Multiple of 2064 and 2072 = 534576

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 2072

2072 = 2 x 2 x 2 x 7 x 37

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

LCM = 534576 = 2 x 2 x 2 x 2 x 3 x 7 x 37 x 43

Step 4: Therefore, the least common multiple of 2064 and 2072 is 534576.