Least Common Multiple of 11070 and 11078

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 11070 and 11078 the smallest integer that is 61316730 that is divisible by both numbers.

Least Common Multiple (LCM) of 11070 and 11078 is 61316730.

LCM(11070,11078) = 61316730

LCM of 11070 and 11078

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

LCM of:
and

Least Common Multiple of 11070 and 11078

LCM of 11070 and 11078 is 61316730

Least common multiple can be found by multiplying the highest exponent prime factors of 11070 and 11078. First we will calculate the prime factors of 11070 and 11078.

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

Prime Factorization of 11078


2 11078
29 5539
191 191
1

Prime factors of 11078 are 2, 29,191. Prime factorization of 11078 in exponential form is:

11078 = 21×291×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 11070 and 11078.

LCM(11070,11078) = 21×33×51×291×411×1911
LCM(11070,11078) = 61316730

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

Factors of 11078

List of positive integer factors of 11078 that divides 11078 without a remainder.

1, 2, 29, 58, 191, 382, 5539, 11078

Least Common Multiple of 11070 and 11078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11070 and 11078, than apply into the LCM equation.

GCF(11070,11078) = 2
LCM(11070,11078) = ( 11070 × 11078) / 2
LCM(11070,11078) = 122633460 / 2
LCM(11070,11078) = 61316730

Properties of LCM 11070 and 11078

(i) The LCM of 11078 and 11070 is associative

LCM of 11070 and 11078 = LCM of 11078 and 11070

Related Least Common Multiples of 11070

Related Least Common Multiples of 11078

Frequently Asked Questions on LCM of 11070 and 11078

1. What is the LCM of 11070 and 11078?

Answer: LCM of 11070 and 11078 is 61316730.

2. 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.

3. What are the Factors of 11078?

Answer: Factors of 11078 are 1, 2, 29, 58, 191, 382, 5539, 11078. There are 8 integers that are factors of 11078. The greatest factor of 11078 is 11078.

4. How to Find the LCM of 11070 and 11078?

Answer:

Least Common Multiple of 11070 and 11078 = 61316730

Step 1: Find the prime factorization of 11070

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

Step 2: Find the prime factorization of 11078

11078 = 2 x 29 x 191

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

LCM = 61316730 = 2 x 3 x 3 x 3 x 5 x 29 x 41 x 191

Step 4: Therefore, the least common multiple of 11070 and 11078 is 61316730.