Least Common Multiple of 11057 and 11061

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 11057 and 11061 the smallest integer that is 122301477 that is divisible by both numbers.

Least Common Multiple (LCM) of 11057 and 11061 is 122301477.

LCM(11057,11061) = 122301477

LCM of 11057 and 11061

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

LCM of:
and

Least Common Multiple of 11057 and 11061

LCM of 11057 and 11061 is 122301477

Least common multiple can be found by multiplying the highest exponent prime factors of 11057 and 11061. First we will calculate the prime factors of 11057 and 11061.

Prime Factorization of 11057


11057 11057
1

Prime factors of 11057 are 11057. Prime factorization of 11057 in exponential form is:

11057 = 110571

Prime Factorization of 11061


3 11061
3 3687
1229 1229
1

Prime factors of 11061 are 3,1229. Prime factorization of 11061 in exponential form is:

11061 = 32×12291

Now multiplying the highest exponent prime factors to calculate the LCM of 11057 and 11061.

LCM(11057,11061) = 32×12291×110571
LCM(11057,11061) = 122301477

Factors of 11057

List of positive integer factors of 11057 that divides 11057 without a remainder.

1, 11057

Factors of 11061

List of positive integer factors of 11061 that divides 11061 without a remainder.

1, 3, 9, 1229, 3687, 11061

Least Common Multiple of 11057 and 11061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11057 and 11061, than apply into the LCM equation.

GCF(11057,11061) = 1
LCM(11057,11061) = ( 11057 × 11061) / 1
LCM(11057,11061) = 122301477 / 1
LCM(11057,11061) = 122301477

Properties of LCM 11057 and 11061

(i) The LCM of 11061 and 11057 is associative

LCM of 11057 and 11061 = LCM of 11061 and 11057

Related Least Common Multiples of 11057

Related Least Common Multiples of 11061

Frequently Asked Questions on LCM of 11057 and 11061

1. What is the LCM of 11057 and 11061?

Answer: LCM of 11057 and 11061 is 122301477.

2. What are the Factors of 11057?

Answer: Factors of 11057 are 1, 11057. There are 2 integers that are factors of 11057. The greatest factor of 11057 is 11057.

3. What are the Factors of 11061?

Answer: Factors of 11061 are 1, 3, 9, 1229, 3687, 11061. There are 6 integers that are factors of 11061. The greatest factor of 11061 is 11061.

4. How to Find the LCM of 11057 and 11061?

Answer:

Least Common Multiple of 11057 and 11061 = 122301477

Step 1: Find the prime factorization of 11057

11057 = 11057

Step 2: Find the prime factorization of 11061

11061 = 3 x 3 x 1229

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

LCM = 122301477 = 3 x 3 x 1229 x 11057

Step 4: Therefore, the least common multiple of 11057 and 11061 is 122301477.