Least Common Multiple of 1056 and 1061

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1056 and 1061 the smallest integer that is 1120416 that is divisible by both numbers.

Least Common Multiple (LCM) of 1056 and 1061 is 1120416.

LCM(1056,1061) = 1120416

LCM of 1056 and 1061

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

LCM of:
and

Least Common Multiple of 1056 and 1061

LCM of 1056 and 1061 is 1120416

Least common multiple can be found by multiplying the highest exponent prime factors of 1056 and 1061. First we will calculate the prime factors of 1056 and 1061.

Prime Factorization of 1056


2 1056
2 528
2 264
2 132
2 66
3 33
11 11
1

Prime factors of 1056 are 2, 3,11. Prime factorization of 1056 in exponential form is:

1056 = 25×31×111

Prime Factorization of 1061


1061 1061
1

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

1061 = 10611

Now multiplying the highest exponent prime factors to calculate the LCM of 1056 and 1061.

LCM(1056,1061) = 25×31×111×10611
LCM(1056,1061) = 1120416

Factors of 1056

List of positive integer factors of 1056 that divides 1056 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 88, 96, 132, 176, 264, 352, 528, 1056

Factors of 1061

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

1, 1061

Least Common Multiple of 1056 and 1061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1056 and 1061, than apply into the LCM equation.

GCF(1056,1061) = 1
LCM(1056,1061) = ( 1056 × 1061) / 1
LCM(1056,1061) = 1120416 / 1
LCM(1056,1061) = 1120416

Properties of LCM 1056 and 1061

(i) The LCM of 1061 and 1056 is associative

LCM of 1056 and 1061 = LCM of 1061 and 1056

Related Least Common Multiples of 1056

Related Least Common Multiples of 1061

Frequently Asked Questions on LCM of 1056 and 1061

1. What is the LCM of 1056 and 1061?

Answer: LCM of 1056 and 1061 is 1120416.

2. What are the Factors of 1056?

Answer: Factors of 1056 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 88, 96, 132, 176, 264, 352, 528, 1056. There are 24 integers that are factors of 1056. The greatest factor of 1056 is 1056.

3. 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.

4. How to Find the LCM of 1056 and 1061?

Answer:

Least Common Multiple of 1056 and 1061 = 1120416

Step 1: Find the prime factorization of 1056

1056 = 2 x 2 x 2 x 2 x 2 x 3 x 11

Step 2: Find the prime factorization of 1061

1061 = 1061

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

LCM = 1120416 = 2 x 2 x 2 x 2 x 2 x 3 x 11 x 1061

Step 4: Therefore, the least common multiple of 1056 and 1061 is 1120416.