Least Common Multiple of 11077 and 11085

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 11077 and 11085 the smallest integer that is 122788545 that is divisible by both numbers.

Least Common Multiple (LCM) of 11077 and 11085 is 122788545.

LCM(11077,11085) = 122788545

LCM of 11077 and 11085

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

LCM of:
and

Least Common Multiple of 11077 and 11085

LCM of 11077 and 11085 is 122788545

Least common multiple can be found by multiplying the highest exponent prime factors of 11077 and 11085. First we will calculate the prime factors of 11077 and 11085.

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

Prime Factorization of 11085


3 11085
5 3695
739 739
1

Prime factors of 11085 are 3, 5,739. Prime factorization of 11085 in exponential form is:

11085 = 31×51×7391

Now multiplying the highest exponent prime factors to calculate the LCM of 11077 and 11085.

LCM(11077,11085) = 31×51×111×191×531×7391
LCM(11077,11085) = 122788545

Factors of 11077

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

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

Factors of 11085

List of positive integer factors of 11085 that divides 11085 without a remainder.

1, 3, 5, 15, 739, 2217, 3695, 11085

Least Common Multiple of 11077 and 11085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11077 and 11085, than apply into the LCM equation.

GCF(11077,11085) = 1
LCM(11077,11085) = ( 11077 × 11085) / 1
LCM(11077,11085) = 122788545 / 1
LCM(11077,11085) = 122788545

Properties of LCM 11077 and 11085

(i) The LCM of 11085 and 11077 is associative

LCM of 11077 and 11085 = LCM of 11085 and 11077

Related Least Common Multiples of 11077

Related Least Common Multiples of 11085

Frequently Asked Questions on LCM of 11077 and 11085

1. What is the LCM of 11077 and 11085?

Answer: LCM of 11077 and 11085 is 122788545.

2. 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.

3. What are the Factors of 11085?

Answer: Factors of 11085 are 1, 3, 5, 15, 739, 2217, 3695, 11085. There are 8 integers that are factors of 11085. The greatest factor of 11085 is 11085.

4. How to Find the LCM of 11077 and 11085?

Answer:

Least Common Multiple of 11077 and 11085 = 122788545

Step 1: Find the prime factorization of 11077

11077 = 11 x 19 x 53

Step 2: Find the prime factorization of 11085

11085 = 3 x 5 x 739

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

LCM = 122788545 = 3 x 5 x 11 x 19 x 53 x 739

Step 4: Therefore, the least common multiple of 11077 and 11085 is 122788545.