Least Common Multiple of 1061 and 1067

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 1067 the smallest integer that is 1132087 that is divisible by both numbers.

Least Common Multiple (LCM) of 1061 and 1067 is 1132087.

LCM(1061,1067) = 1132087

LCM of 1061 and 1067

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

LCM of:
and

Least Common Multiple of 1061 and 1067

LCM of 1061 and 1067 is 1132087

Least common multiple can be found by multiplying the highest exponent prime factors of 1061 and 1067. First we will calculate the prime factors of 1061 and 1067.

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 1067


11 1067
97 97
1

Prime factors of 1067 are 11,97. Prime factorization of 1067 in exponential form is:

1067 = 111×971

Now multiplying the highest exponent prime factors to calculate the LCM of 1061 and 1067.

LCM(1061,1067) = 111×971×10611
LCM(1061,1067) = 1132087

Factors of 1061

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

1, 1061

Factors of 1067

List of positive integer factors of 1067 that divides 1067 without a remainder.

1, 11, 97, 1067

Least Common Multiple of 1061 and 1067 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 1067, than apply into the LCM equation.

GCF(1061,1067) = 1
LCM(1061,1067) = ( 1061 × 1067) / 1
LCM(1061,1067) = 1132087 / 1
LCM(1061,1067) = 1132087

Properties of LCM 1061 and 1067

(i) The LCM of 1067 and 1061 is associative

LCM of 1061 and 1067 = LCM of 1067 and 1061

Related Least Common Multiples of 1061

Related Least Common Multiples of 1067

Frequently Asked Questions on LCM of 1061 and 1067

1. What is the LCM of 1061 and 1067?

Answer: LCM of 1061 and 1067 is 1132087.

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 1067?

Answer: Factors of 1067 are 1, 11, 97, 1067. There are 4 integers that are factors of 1067. The greatest factor of 1067 is 1067.

4. How to Find the LCM of 1061 and 1067?

Answer:

Least Common Multiple of 1061 and 1067 = 1132087

Step 1: Find the prime factorization of 1061

1061 = 1061

Step 2: Find the prime factorization of 1067

1067 = 11 x 97

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

LCM = 1132087 = 11 x 97 x 1061

Step 4: Therefore, the least common multiple of 1061 and 1067 is 1132087.