Least Common Multiple of 1066 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 1066 and 1070 the smallest integer that is 570310 that is divisible by both numbers.

Least Common Multiple (LCM) of 1066 and 1070 is 570310.

LCM(1066,1070) = 570310

LCM of 1066 and 1070

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

LCM of:
and

Least Common Multiple of 1066 and 1070

LCM of 1066 and 1070 is 570310

Least common multiple can be found by multiplying the highest exponent prime factors of 1066 and 1070. First we will calculate the prime factors of 1066 and 1070.

Prime Factorization of 1066


2 1066
13 533
41 41
1

Prime factors of 1066 are 2, 13,41. Prime factorization of 1066 in exponential form is:

1066 = 21×131×411

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 1066 and 1070.

LCM(1066,1070) = 21×51×131×411×1071
LCM(1066,1070) = 570310

Factors of 1066

List of positive integer factors of 1066 that divides 1066 without a remainder.

1, 2, 13, 26, 41, 82, 533, 1066

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 1066 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 1066 and 1070, than apply into the LCM equation.

GCF(1066,1070) = 2
LCM(1066,1070) = ( 1066 × 1070) / 2
LCM(1066,1070) = 1140620 / 2
LCM(1066,1070) = 570310

Properties of LCM 1066 and 1070

(i) The LCM of 1070 and 1066 is associative

LCM of 1066 and 1070 = LCM of 1070 and 1066

Related Least Common Multiples of 1066

Related Least Common Multiples of 1070

Frequently Asked Questions on LCM of 1066 and 1070

1. What is the LCM of 1066 and 1070?

Answer: LCM of 1066 and 1070 is 570310.

2. What are the Factors of 1066?

Answer: Factors of 1066 are 1, 2, 13, 26, 41, 82, 533, 1066. There are 8 integers that are factors of 1066. The greatest factor of 1066 is 1066.

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 1066 and 1070?

Answer:

Least Common Multiple of 1066 and 1070 = 570310

Step 1: Find the prime factorization of 1066

1066 = 2 x 13 x 41

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 = 570310 = 2 x 5 x 13 x 41 x 107

Step 4: Therefore, the least common multiple of 1066 and 1070 is 570310.