Least Common Multiple of 11070 and 11077

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 11077 the smallest integer that is 122622390 that is divisible by both numbers.

Least Common Multiple (LCM) of 11070 and 11077 is 122622390.

LCM(11070,11077) = 122622390

LCM of 11070 and 11077

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

LCM of:
and

Least Common Multiple of 11070 and 11077

LCM of 11070 and 11077 is 122622390

Least common multiple can be found by multiplying the highest exponent prime factors of 11070 and 11077. First we will calculate the prime factors of 11070 and 11077.

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 11077


11 11077
19 1007
53 53
1

Prime factors of 11077 are 11, 19,53. Prime factorization of 11077 in exponential form is:

11077 = 111×191×531

Now multiplying the highest exponent prime factors to calculate the LCM of 11070 and 11077.

LCM(11070,11077) = 21×33×51×111×191×411×531
LCM(11070,11077) = 122622390

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 11077

List of positive integer factors of 11077 that divides 11077 without a remainder.

1, 11, 19, 53, 209, 583, 1007, 11077

Least Common Multiple of 11070 and 11077 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 11077, than apply into the LCM equation.

GCF(11070,11077) = 1
LCM(11070,11077) = ( 11070 × 11077) / 1
LCM(11070,11077) = 122622390 / 1
LCM(11070,11077) = 122622390

Properties of LCM 11070 and 11077

(i) The LCM of 11077 and 11070 is associative

LCM of 11070 and 11077 = LCM of 11077 and 11070

Related Least Common Multiples of 11070

Related Least Common Multiples of 11077

Frequently Asked Questions on LCM of 11070 and 11077

1. What is the LCM of 11070 and 11077?

Answer: LCM of 11070 and 11077 is 122622390.

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 11077?

Answer: Factors of 11077 are 1, 11, 19, 53, 209, 583, 1007, 11077. There are 8 integers that are factors of 11077. The greatest factor of 11077 is 11077.

4. How to Find the LCM of 11070 and 11077?

Answer:

Least Common Multiple of 11070 and 11077 = 122622390

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 11077

11077 = 11 x 19 x 53

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

LCM = 122622390 = 2 x 3 x 3 x 3 x 5 x 11 x 19 x 41 x 53

Step 4: Therefore, the least common multiple of 11070 and 11077 is 122622390.