Least Common Multiple of 1064 and 1072

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1064 and 1072 the smallest integer that is 142576 that is divisible by both numbers.

Least Common Multiple (LCM) of 1064 and 1072 is 142576.

LCM(1064,1072) = 142576

LCM of 1064 and 1072

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

LCM of:
and

Least Common Multiple of 1064 and 1072

LCM of 1064 and 1072 is 142576

Least common multiple can be found by multiplying the highest exponent prime factors of 1064 and 1072. First we will calculate the prime factors of 1064 and 1072.

Prime Factorization of 1064


2 1064
2 532
2 266
7 133
19 19
1

Prime factors of 1064 are 2, 7,19. Prime factorization of 1064 in exponential form is:

1064 = 23×71×191

Prime Factorization of 1072


2 1072
2 536
2 268
2 134
67 67
1

Prime factors of 1072 are 2,67. Prime factorization of 1072 in exponential form is:

1072 = 24×671

Now multiplying the highest exponent prime factors to calculate the LCM of 1064 and 1072.

LCM(1064,1072) = 24×71×191×671
LCM(1064,1072) = 142576

Factors of 1064

List of positive integer factors of 1064 that divides 1064 without a remainder.

1, 2, 4, 7, 8, 14, 19, 28, 38, 56, 76, 133, 152, 266, 532, 1064

Factors of 1072

List of positive integer factors of 1072 that divides 1072 without a remainder.

1, 2, 4, 8, 16, 67, 134, 268, 536, 1072

Least Common Multiple of 1064 and 1072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1064 and 1072, than apply into the LCM equation.

GCF(1064,1072) = 8
LCM(1064,1072) = ( 1064 × 1072) / 8
LCM(1064,1072) = 1140608 / 8
LCM(1064,1072) = 142576

Properties of LCM 1064 and 1072

(i) The LCM of 1072 and 1064 is associative

LCM of 1064 and 1072 = LCM of 1072 and 1064

Related Least Common Multiples of 1064

Related Least Common Multiples of 1072

Frequently Asked Questions on LCM of 1064 and 1072

1. What is the LCM of 1064 and 1072?

Answer: LCM of 1064 and 1072 is 142576.

2. What are the Factors of 1064?

Answer: Factors of 1064 are 1, 2, 4, 7, 8, 14, 19, 28, 38, 56, 76, 133, 152, 266, 532, 1064. There are 16 integers that are factors of 1064. The greatest factor of 1064 is 1064.

3. What are the Factors of 1072?

Answer: Factors of 1072 are 1, 2, 4, 8, 16, 67, 134, 268, 536, 1072. There are 10 integers that are factors of 1072. The greatest factor of 1072 is 1072.

4. How to Find the LCM of 1064 and 1072?

Answer:

Least Common Multiple of 1064 and 1072 = 142576

Step 1: Find the prime factorization of 1064

1064 = 2 x 2 x 2 x 7 x 19

Step 2: Find the prime factorization of 1072

1072 = 2 x 2 x 2 x 2 x 67

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

LCM = 142576 = 2 x 2 x 2 x 2 x 7 x 19 x 67

Step 4: Therefore, the least common multiple of 1064 and 1072 is 142576.