Least Common Multiple of 1056 and 1060

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 1060 the smallest integer that is 279840 that is divisible by both numbers.

Least Common Multiple (LCM) of 1056 and 1060 is 279840.

LCM(1056,1060) = 279840

LCM of 1056 and 1060

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

LCM of:
and

Least Common Multiple of 1056 and 1060

LCM of 1056 and 1060 is 279840

Least common multiple can be found by multiplying the highest exponent prime factors of 1056 and 1060. First we will calculate the prime factors of 1056 and 1060.

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 1060


2 1060
2 530
5 265
53 53
1

Prime factors of 1060 are 2, 5,53. Prime factorization of 1060 in exponential form is:

1060 = 22×51×531

Now multiplying the highest exponent prime factors to calculate the LCM of 1056 and 1060.

LCM(1056,1060) = 25×31×51×111×531
LCM(1056,1060) = 279840

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 1060

List of positive integer factors of 1060 that divides 1060 without a remainder.

1, 2, 4, 5, 10, 20, 53, 106, 212, 265, 530, 1060

Least Common Multiple of 1056 and 1060 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 1060, than apply into the LCM equation.

GCF(1056,1060) = 4
LCM(1056,1060) = ( 1056 × 1060) / 4
LCM(1056,1060) = 1119360 / 4
LCM(1056,1060) = 279840

Properties of LCM 1056 and 1060

(i) The LCM of 1060 and 1056 is associative

LCM of 1056 and 1060 = LCM of 1060 and 1056

Related Least Common Multiples of 1056

Related Least Common Multiples of 1060

Frequently Asked Questions on LCM of 1056 and 1060

1. What is the LCM of 1056 and 1060?

Answer: LCM of 1056 and 1060 is 279840.

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 1060?

Answer: Factors of 1060 are 1, 2, 4, 5, 10, 20, 53, 106, 212, 265, 530, 1060. There are 12 integers that are factors of 1060. The greatest factor of 1060 is 1060.

4. How to Find the LCM of 1056 and 1060?

Answer:

Least Common Multiple of 1056 and 1060 = 279840

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 1060

1060 = 2 x 2 x 5 x 53

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

LCM = 279840 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 11 x 53

Step 4: Therefore, the least common multiple of 1056 and 1060 is 279840.