Least Common Multiple of 11070 and 11075

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 11075 the smallest integer that is 24520050 that is divisible by both numbers.

Least Common Multiple (LCM) of 11070 and 11075 is 24520050.

LCM(11070,11075) = 24520050

LCM of 11070 and 11075

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

LCM of:
and

Least Common Multiple of 11070 and 11075

LCM of 11070 and 11075 is 24520050

Least common multiple can be found by multiplying the highest exponent prime factors of 11070 and 11075. First we will calculate the prime factors of 11070 and 11075.

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 11075


5 11075
5 2215
443 443
1

Prime factors of 11075 are 5,443. Prime factorization of 11075 in exponential form is:

11075 = 52×4431

Now multiplying the highest exponent prime factors to calculate the LCM of 11070 and 11075.

LCM(11070,11075) = 21×33×52×411×4431
LCM(11070,11075) = 24520050

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 11075

List of positive integer factors of 11075 that divides 11075 without a remainder.

1, 5, 25, 443, 2215, 11075

Least Common Multiple of 11070 and 11075 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 11075, than apply into the LCM equation.

GCF(11070,11075) = 5
LCM(11070,11075) = ( 11070 × 11075) / 5
LCM(11070,11075) = 122600250 / 5
LCM(11070,11075) = 24520050

Properties of LCM 11070 and 11075

(i) The LCM of 11075 and 11070 is associative

LCM of 11070 and 11075 = LCM of 11075 and 11070

Related Least Common Multiples of 11070

Related Least Common Multiples of 11075

Frequently Asked Questions on LCM of 11070 and 11075

1. What is the LCM of 11070 and 11075?

Answer: LCM of 11070 and 11075 is 24520050.

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 11075?

Answer: Factors of 11075 are 1, 5, 25, 443, 2215, 11075. There are 6 integers that are factors of 11075. The greatest factor of 11075 is 11075.

4. How to Find the LCM of 11070 and 11075?

Answer:

Least Common Multiple of 11070 and 11075 = 24520050

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 11075

11075 = 5 x 5 x 443

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

LCM = 24520050 = 2 x 3 x 3 x 3 x 5 x 5 x 41 x 443

Step 4: Therefore, the least common multiple of 11070 and 11075 is 24520050.