Least Common Multiple of 11068 and 11076

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 11068 and 11076 the smallest integer that is 30647292 that is divisible by both numbers.

Least Common Multiple (LCM) of 11068 and 11076 is 30647292.

LCM(11068,11076) = 30647292

LCM of 11068 and 11076

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

LCM of:
and

Least Common Multiple of 11068 and 11076

LCM of 11068 and 11076 is 30647292

Least common multiple can be found by multiplying the highest exponent prime factors of 11068 and 11076. First we will calculate the prime factors of 11068 and 11076.

Prime Factorization of 11068


2 11068
2 5534
2767 2767
1

Prime factors of 11068 are 2,2767. Prime factorization of 11068 in exponential form is:

11068 = 22×27671

Prime Factorization of 11076


2 11076
2 5538
3 2769
13 923
71 71
1

Prime factors of 11076 are 2, 3, 13,71. Prime factorization of 11076 in exponential form is:

11076 = 22×31×131×711

Now multiplying the highest exponent prime factors to calculate the LCM of 11068 and 11076.

LCM(11068,11076) = 22×31×131×711×27671
LCM(11068,11076) = 30647292

Factors of 11068

List of positive integer factors of 11068 that divides 11068 without a remainder.

1, 2, 4, 2767, 5534, 11068

Factors of 11076

List of positive integer factors of 11076 that divides 11076 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 71, 78, 142, 156, 213, 284, 426, 852, 923, 1846, 2769, 3692, 5538, 11076

Least Common Multiple of 11068 and 11076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11068 and 11076, than apply into the LCM equation.

GCF(11068,11076) = 4
LCM(11068,11076) = ( 11068 × 11076) / 4
LCM(11068,11076) = 122589168 / 4
LCM(11068,11076) = 30647292

Properties of LCM 11068 and 11076

(i) The LCM of 11076 and 11068 is associative

LCM of 11068 and 11076 = LCM of 11076 and 11068

Related Least Common Multiples of 11068

Related Least Common Multiples of 11076

Frequently Asked Questions on LCM of 11068 and 11076

1. What is the LCM of 11068 and 11076?

Answer: LCM of 11068 and 11076 is 30647292.

2. What are the Factors of 11068?

Answer: Factors of 11068 are 1, 2, 4, 2767, 5534, 11068. There are 6 integers that are factors of 11068. The greatest factor of 11068 is 11068.

3. What are the Factors of 11076?

Answer: Factors of 11076 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 71, 78, 142, 156, 213, 284, 426, 852, 923, 1846, 2769, 3692, 5538, 11076. There are 24 integers that are factors of 11076. The greatest factor of 11076 is 11076.

4. How to Find the LCM of 11068 and 11076?

Answer:

Least Common Multiple of 11068 and 11076 = 30647292

Step 1: Find the prime factorization of 11068

11068 = 2 x 2 x 2767

Step 2: Find the prime factorization of 11076

11076 = 2 x 2 x 3 x 13 x 71

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

LCM = 30647292 = 2 x 2 x 3 x 13 x 71 x 2767

Step 4: Therefore, the least common multiple of 11068 and 11076 is 30647292.