Least Common Multiple of 1061 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 1061 and 1065 the smallest integer that is 1129965 that is divisible by both numbers.

Least Common Multiple (LCM) of 1061 and 1065 is 1129965.

LCM(1061,1065) = 1129965

LCM of 1061 and 1065

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

LCM of:
and

Least Common Multiple of 1061 and 1065

LCM of 1061 and 1065 is 1129965

Least common multiple can be found by multiplying the highest exponent prime factors of 1061 and 1065. First we will calculate the prime factors of 1061 and 1065.

Prime Factorization of 1061


1061 1061
1

Prime factors of 1061 are 1061. Prime factorization of 1061 in exponential form is:

1061 = 10611

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 1061 and 1065.

LCM(1061,1065) = 31×51×711×10611
LCM(1061,1065) = 1129965

Factors of 1061

List of positive integer factors of 1061 that divides 1061 without a remainder.

1, 1061

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 1061 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 1061 and 1065, than apply into the LCM equation.

GCF(1061,1065) = 1
LCM(1061,1065) = ( 1061 × 1065) / 1
LCM(1061,1065) = 1129965 / 1
LCM(1061,1065) = 1129965

Properties of LCM 1061 and 1065

(i) The LCM of 1065 and 1061 is associative

LCM of 1061 and 1065 = LCM of 1065 and 1061

Related Least Common Multiples of 1061

Related Least Common Multiples of 1065

Frequently Asked Questions on LCM of 1061 and 1065

1. What is the LCM of 1061 and 1065?

Answer: LCM of 1061 and 1065 is 1129965.

2. What are the Factors of 1061?

Answer: Factors of 1061 are 1, 1061. There are 2 integers that are factors of 1061. The greatest factor of 1061 is 1061.

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 1061 and 1065?

Answer:

Least Common Multiple of 1061 and 1065 = 1129965

Step 1: Find the prime factorization of 1061

1061 = 1061

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 = 1129965 = 3 x 5 x 71 x 1061

Step 4: Therefore, the least common multiple of 1061 and 1065 is 1129965.