Least Common Multiple of 1064 and 1070

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1064 and 1070 the smallest integer that is 569240 that is divisible by both numbers.

Least Common Multiple (LCM) of 1064 and 1070 is 569240.

LCM(1064,1070) = 569240

LCM of 1064 and 1070

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

LCM of:
and

Least Common Multiple of 1064 and 1070

LCM of 1064 and 1070 is 569240

Least common multiple can be found by multiplying the highest exponent prime factors of 1064 and 1070. First we will calculate the prime factors of 1064 and 1070.

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

Prime Factorization of 1070


2 1070
5 535
107 107
1

Prime factors of 1070 are 2, 5,107. Prime factorization of 1070 in exponential form is:

1070 = 21×51×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 1064 and 1070.

LCM(1064,1070) = 23×51×71×191×1071
LCM(1064,1070) = 569240

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

Factors of 1070

List of positive integer factors of 1070 that divides 1070 without a remainder.

1, 2, 5, 10, 107, 214, 535, 1070

Least Common Multiple of 1064 and 1070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1064 and 1070, than apply into the LCM equation.

GCF(1064,1070) = 2
LCM(1064,1070) = ( 1064 × 1070) / 2
LCM(1064,1070) = 1138480 / 2
LCM(1064,1070) = 569240

Properties of LCM 1064 and 1070

(i) The LCM of 1070 and 1064 is associative

LCM of 1064 and 1070 = LCM of 1070 and 1064

Related Least Common Multiples of 1064

Related Least Common Multiples of 1070

Frequently Asked Questions on LCM of 1064 and 1070

1. What is the LCM of 1064 and 1070?

Answer: LCM of 1064 and 1070 is 569240.

2. 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.

3. What are the Factors of 1070?

Answer: Factors of 1070 are 1, 2, 5, 10, 107, 214, 535, 1070. There are 8 integers that are factors of 1070. The greatest factor of 1070 is 1070.

4. How to Find the LCM of 1064 and 1070?

Answer:

Least Common Multiple of 1064 and 1070 = 569240

Step 1: Find the prime factorization of 1064

1064 = 2 x 2 x 2 x 7 x 19

Step 2: Find the prime factorization of 1070

1070 = 2 x 5 x 107

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

LCM = 569240 = 2 x 2 x 2 x 5 x 7 x 19 x 107

Step 4: Therefore, the least common multiple of 1064 and 1070 is 569240.