Least Common Multiple of 1061 and 1066

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 1066 the smallest integer that is 1131026 that is divisible by both numbers.

Least Common Multiple (LCM) of 1061 and 1066 is 1131026.

LCM(1061,1066) = 1131026

LCM of 1061 and 1066

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

LCM of:
and

Least Common Multiple of 1061 and 1066

LCM of 1061 and 1066 is 1131026

Least common multiple can be found by multiplying the highest exponent prime factors of 1061 and 1066. First we will calculate the prime factors of 1061 and 1066.

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 1066


2 1066
13 533
41 41
1

Prime factors of 1066 are 2, 13,41. Prime factorization of 1066 in exponential form is:

1066 = 21×131×411

Now multiplying the highest exponent prime factors to calculate the LCM of 1061 and 1066.

LCM(1061,1066) = 21×131×411×10611
LCM(1061,1066) = 1131026

Factors of 1061

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

1, 1061

Factors of 1066

List of positive integer factors of 1066 that divides 1066 without a remainder.

1, 2, 13, 26, 41, 82, 533, 1066

Least Common Multiple of 1061 and 1066 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 1066, than apply into the LCM equation.

GCF(1061,1066) = 1
LCM(1061,1066) = ( 1061 × 1066) / 1
LCM(1061,1066) = 1131026 / 1
LCM(1061,1066) = 1131026

Properties of LCM 1061 and 1066

(i) The LCM of 1066 and 1061 is associative

LCM of 1061 and 1066 = LCM of 1066 and 1061

Related Least Common Multiples of 1061

Related Least Common Multiples of 1066

Frequently Asked Questions on LCM of 1061 and 1066

1. What is the LCM of 1061 and 1066?

Answer: LCM of 1061 and 1066 is 1131026.

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 1066?

Answer: Factors of 1066 are 1, 2, 13, 26, 41, 82, 533, 1066. There are 8 integers that are factors of 1066. The greatest factor of 1066 is 1066.

4. How to Find the LCM of 1061 and 1066?

Answer:

Least Common Multiple of 1061 and 1066 = 1131026

Step 1: Find the prime factorization of 1061

1061 = 1061

Step 2: Find the prime factorization of 1066

1066 = 2 x 13 x 41

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

LCM = 1131026 = 2 x 13 x 41 x 1061

Step 4: Therefore, the least common multiple of 1061 and 1066 is 1131026.