Least Common Multiple of 1056 and 1064

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 1064 the smallest integer that is 140448 that is divisible by both numbers.

Least Common Multiple (LCM) of 1056 and 1064 is 140448.

LCM(1056,1064) = 140448

LCM of 1056 and 1064

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

LCM of:
and

Least Common Multiple of 1056 and 1064

LCM of 1056 and 1064 is 140448

Least common multiple can be found by multiplying the highest exponent prime factors of 1056 and 1064. First we will calculate the prime factors of 1056 and 1064.

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 1064


2 1064
2 532
2 266
7 133
19 19
1

Prime factors of 1064 are 2, 7,19. Prime factorization of 1064 in exponential form is:

1064 = 23×71×191

Now multiplying the highest exponent prime factors to calculate the LCM of 1056 and 1064.

LCM(1056,1064) = 25×31×71×111×191
LCM(1056,1064) = 140448

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 1064

List of positive integer factors of 1064 that divides 1064 without a remainder.

1, 2, 4, 7, 8, 14, 19, 28, 38, 56, 76, 133, 152, 266, 532, 1064

Least Common Multiple of 1056 and 1064 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 1064, than apply into the LCM equation.

GCF(1056,1064) = 8
LCM(1056,1064) = ( 1056 × 1064) / 8
LCM(1056,1064) = 1123584 / 8
LCM(1056,1064) = 140448

Properties of LCM 1056 and 1064

(i) The LCM of 1064 and 1056 is associative

LCM of 1056 and 1064 = LCM of 1064 and 1056

Related Least Common Multiples of 1056

Related Least Common Multiples of 1064

Frequently Asked Questions on LCM of 1056 and 1064

1. What is the LCM of 1056 and 1064?

Answer: LCM of 1056 and 1064 is 140448.

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 1064?

Answer: Factors of 1064 are 1, 2, 4, 7, 8, 14, 19, 28, 38, 56, 76, 133, 152, 266, 532, 1064. There are 16 integers that are factors of 1064. The greatest factor of 1064 is 1064.

4. How to Find the LCM of 1056 and 1064?

Answer:

Least Common Multiple of 1056 and 1064 = 140448

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 1064

1064 = 2 x 2 x 2 x 7 x 19

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

LCM = 140448 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 11 x 19

Step 4: Therefore, the least common multiple of 1056 and 1064 is 140448.