Least Common Multiple of 11065 and 11070

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 11065 and 11070 the smallest integer that is 24497910 that is divisible by both numbers.

Least Common Multiple (LCM) of 11065 and 11070 is 24497910.

LCM(11065,11070) = 24497910

LCM of 11065 and 11070

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

LCM of:
and

Least Common Multiple of 11065 and 11070

LCM of 11065 and 11070 is 24497910

Least common multiple can be found by multiplying the highest exponent prime factors of 11065 and 11070. First we will calculate the prime factors of 11065 and 11070.

Prime Factorization of 11065


5 11065
2213 2213
1

Prime factors of 11065 are 5,2213. Prime factorization of 11065 in exponential form is:

11065 = 51×22131

Prime Factorization of 11070


2 11070
3 5535
3 1845
3 615
5 205
41 41
1

Prime factors of 11070 are 2, 3, 5,41. Prime factorization of 11070 in exponential form is:

11070 = 21×33×51×411

Now multiplying the highest exponent prime factors to calculate the LCM of 11065 and 11070.

LCM(11065,11070) = 21×33×51×411×22131
LCM(11065,11070) = 24497910

Factors of 11065

List of positive integer factors of 11065 that divides 11065 without a remainder.

1, 5, 2213, 11065

Factors of 11070

List of positive integer factors of 11070 that divides 11070 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 41, 45, 54, 82, 90, 123, 135, 205, 246, 270, 369, 410, 615, 738, 1107, 1230, 1845, 2214, 3690, 5535, 11070

Least Common Multiple of 11065 and 11070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11065 and 11070, than apply into the LCM equation.

GCF(11065,11070) = 5
LCM(11065,11070) = ( 11065 × 11070) / 5
LCM(11065,11070) = 122489550 / 5
LCM(11065,11070) = 24497910

Properties of LCM 11065 and 11070

(i) The LCM of 11070 and 11065 is associative

LCM of 11065 and 11070 = LCM of 11070 and 11065

Related Least Common Multiples of 11065

Related Least Common Multiples of 11070

Frequently Asked Questions on LCM of 11065 and 11070

1. What is the LCM of 11065 and 11070?

Answer: LCM of 11065 and 11070 is 24497910.

2. What are the Factors of 11065?

Answer: Factors of 11065 are 1, 5, 2213, 11065. There are 4 integers that are factors of 11065. The greatest factor of 11065 is 11065.

3. What are the Factors of 11070?

Answer: Factors of 11070 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 41, 45, 54, 82, 90, 123, 135, 205, 246, 270, 369, 410, 615, 738, 1107, 1230, 1845, 2214, 3690, 5535, 11070. There are 32 integers that are factors of 11070. The greatest factor of 11070 is 11070.

4. How to Find the LCM of 11065 and 11070?

Answer:

Least Common Multiple of 11065 and 11070 = 24497910

Step 1: Find the prime factorization of 11065

11065 = 5 x 2213

Step 2: Find the prime factorization of 11070

11070 = 2 x 3 x 3 x 3 x 5 x 41

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

LCM = 24497910 = 2 x 3 x 3 x 3 x 5 x 41 x 2213

Step 4: Therefore, the least common multiple of 11065 and 11070 is 24497910.