Least Common Multiple of 1059 and 1065

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1059 and 1065 the smallest integer that is 375945 that is divisible by both numbers.

Least Common Multiple (LCM) of 1059 and 1065 is 375945.

LCM(1059,1065) = 375945

LCM of 1059 and 1065

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

LCM of:
and

Least Common Multiple of 1059 and 1065

LCM of 1059 and 1065 is 375945

Least common multiple can be found by multiplying the highest exponent prime factors of 1059 and 1065. First we will calculate the prime factors of 1059 and 1065.

Prime Factorization of 1059


3 1059
353 353
1

Prime factors of 1059 are 3,353. Prime factorization of 1059 in exponential form is:

1059 = 31×3531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1059 and 1065.

LCM(1059,1065) = 31×51×711×3531
LCM(1059,1065) = 375945

Factors of 1059

List of positive integer factors of 1059 that divides 1059 without a remainder.

1, 3, 353, 1059

Factors of 1065

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

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

Least Common Multiple of 1059 and 1065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1059 and 1065, than apply into the LCM equation.

GCF(1059,1065) = 3
LCM(1059,1065) = ( 1059 × 1065) / 3
LCM(1059,1065) = 1127835 / 3
LCM(1059,1065) = 375945

Properties of LCM 1059 and 1065

(i) The LCM of 1065 and 1059 is associative

LCM of 1059 and 1065 = LCM of 1065 and 1059

Related Least Common Multiples of 1059

Related Least Common Multiples of 1065

Frequently Asked Questions on LCM of 1059 and 1065

1. What is the LCM of 1059 and 1065?

Answer: LCM of 1059 and 1065 is 375945.

2. What are the Factors of 1059?

Answer: Factors of 1059 are 1, 3, 353, 1059. There are 4 integers that are factors of 1059. The greatest factor of 1059 is 1059.

3. 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.

4. How to Find the LCM of 1059 and 1065?

Answer:

Least Common Multiple of 1059 and 1065 = 375945

Step 1: Find the prime factorization of 1059

1059 = 3 x 353

Step 2: Find the prime factorization of 1065

1065 = 3 x 5 x 71

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

LCM = 375945 = 3 x 5 x 71 x 353

Step 4: Therefore, the least common multiple of 1059 and 1065 is 375945.