Least Common Multiple of 1065 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 1065 and 1072 the smallest integer that is 1141680 that is divisible by both numbers.

Least Common Multiple (LCM) of 1065 and 1072 is 1141680.

LCM(1065,1072) = 1141680

LCM of 1065 and 1072

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

LCM of:
and

Least Common Multiple of 1065 and 1072

LCM of 1065 and 1072 is 1141680

Least common multiple can be found by multiplying the highest exponent prime factors of 1065 and 1072. First we will calculate the prime factors of 1065 and 1072.

Prime Factorization of 1065


3 1065
5 355
71 71
1

Prime factors of 1065 are 3, 5,71. Prime factorization of 1065 in exponential form is:

1065 = 31×51×711

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 1065 and 1072.

LCM(1065,1072) = 24×31×51×671×711
LCM(1065,1072) = 1141680

Factors of 1065

List of positive integer factors of 1065 that divides 1065 without a remainder.

1, 3, 5, 15, 71, 213, 355, 1065

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 1065 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 1065 and 1072, than apply into the LCM equation.

GCF(1065,1072) = 1
LCM(1065,1072) = ( 1065 × 1072) / 1
LCM(1065,1072) = 1141680 / 1
LCM(1065,1072) = 1141680

Properties of LCM 1065 and 1072

(i) The LCM of 1072 and 1065 is associative

LCM of 1065 and 1072 = LCM of 1072 and 1065

Related Least Common Multiples of 1065

Related Least Common Multiples of 1072

Frequently Asked Questions on LCM of 1065 and 1072

1. What is the LCM of 1065 and 1072?

Answer: LCM of 1065 and 1072 is 1141680.

2. What are the Factors of 1065?

Answer: Factors of 1065 are 1, 3, 5, 15, 71, 213, 355, 1065. There are 8 integers that are factors of 1065. The greatest factor of 1065 is 1065.

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 1065 and 1072?

Answer:

Least Common Multiple of 1065 and 1072 = 1141680

Step 1: Find the prime factorization of 1065

1065 = 3 x 5 x 71

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 = 1141680 = 2 x 2 x 2 x 2 x 3 x 5 x 67 x 71

Step 4: Therefore, the least common multiple of 1065 and 1072 is 1141680.