Least Common Multiple of 11057 and 11064

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 11064 the smallest integer that is 122334648 that is divisible by both numbers.

Least Common Multiple (LCM) of 11057 and 11064 is 122334648.

LCM(11057,11064) = 122334648

LCM of 11057 and 11064

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

LCM of:
and

Least Common Multiple of 11057 and 11064

LCM of 11057 and 11064 is 122334648

Least common multiple can be found by multiplying the highest exponent prime factors of 11057 and 11064. First we will calculate the prime factors of 11057 and 11064.

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 11064


2 11064
2 5532
2 2766
3 1383
461 461
1

Prime factors of 11064 are 2, 3,461. Prime factorization of 11064 in exponential form is:

11064 = 23×31×4611

Now multiplying the highest exponent prime factors to calculate the LCM of 11057 and 11064.

LCM(11057,11064) = 23×31×4611×110571
LCM(11057,11064) = 122334648

Factors of 11057

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

1, 11057

Factors of 11064

List of positive integer factors of 11064 that divides 11064 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 461, 922, 1383, 1844, 2766, 3688, 5532, 11064

Least Common Multiple of 11057 and 11064 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 11064, than apply into the LCM equation.

GCF(11057,11064) = 1
LCM(11057,11064) = ( 11057 × 11064) / 1
LCM(11057,11064) = 122334648 / 1
LCM(11057,11064) = 122334648

Properties of LCM 11057 and 11064

(i) The LCM of 11064 and 11057 is associative

LCM of 11057 and 11064 = LCM of 11064 and 11057

Related Least Common Multiples of 11057

Related Least Common Multiples of 11064

Frequently Asked Questions on LCM of 11057 and 11064

1. What is the LCM of 11057 and 11064?

Answer: LCM of 11057 and 11064 is 122334648.

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 11064?

Answer: Factors of 11064 are 1, 2, 3, 4, 6, 8, 12, 24, 461, 922, 1383, 1844, 2766, 3688, 5532, 11064. There are 16 integers that are factors of 11064. The greatest factor of 11064 is 11064.

4. How to Find the LCM of 11057 and 11064?

Answer:

Least Common Multiple of 11057 and 11064 = 122334648

Step 1: Find the prime factorization of 11057

11057 = 11057

Step 2: Find the prime factorization of 11064

11064 = 2 x 2 x 2 x 3 x 461

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

LCM = 122334648 = 2 x 2 x 2 x 3 x 461 x 11057

Step 4: Therefore, the least common multiple of 11057 and 11064 is 122334648.