Least Common Multiple of 11078 and 11082

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 11078 and 11082 the smallest integer that is 61383198 that is divisible by both numbers.

Least Common Multiple (LCM) of 11078 and 11082 is 61383198.

LCM(11078,11082) = 61383198

LCM of 11078 and 11082

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

LCM of:
and

Least Common Multiple of 11078 and 11082

LCM of 11078 and 11082 is 61383198

Least common multiple can be found by multiplying the highest exponent prime factors of 11078 and 11082. First we will calculate the prime factors of 11078 and 11082.

Prime Factorization of 11078


2 11078
29 5539
191 191
1

Prime factors of 11078 are 2, 29,191. Prime factorization of 11078 in exponential form is:

11078 = 21×291×1911

Prime Factorization of 11082


2 11082
3 5541
1847 1847
1

Prime factors of 11082 are 2, 3,1847. Prime factorization of 11082 in exponential form is:

11082 = 21×31×18471

Now multiplying the highest exponent prime factors to calculate the LCM of 11078 and 11082.

LCM(11078,11082) = 21×31×291×1911×18471
LCM(11078,11082) = 61383198

Factors of 11078

List of positive integer factors of 11078 that divides 11078 without a remainder.

1, 2, 29, 58, 191, 382, 5539, 11078

Factors of 11082

List of positive integer factors of 11082 that divides 11082 without a remainder.

1, 2, 3, 6, 1847, 3694, 5541, 11082

Least Common Multiple of 11078 and 11082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11078 and 11082, than apply into the LCM equation.

GCF(11078,11082) = 2
LCM(11078,11082) = ( 11078 × 11082) / 2
LCM(11078,11082) = 122766396 / 2
LCM(11078,11082) = 61383198

Properties of LCM 11078 and 11082

(i) The LCM of 11082 and 11078 is associative

LCM of 11078 and 11082 = LCM of 11082 and 11078

Related Least Common Multiples of 11078

Related Least Common Multiples of 11082

Frequently Asked Questions on LCM of 11078 and 11082

1. What is the LCM of 11078 and 11082?

Answer: LCM of 11078 and 11082 is 61383198.

2. What are the Factors of 11078?

Answer: Factors of 11078 are 1, 2, 29, 58, 191, 382, 5539, 11078. There are 8 integers that are factors of 11078. The greatest factor of 11078 is 11078.

3. What are the Factors of 11082?

Answer: Factors of 11082 are 1, 2, 3, 6, 1847, 3694, 5541, 11082. There are 8 integers that are factors of 11082. The greatest factor of 11082 is 11082.

4. How to Find the LCM of 11078 and 11082?

Answer:

Least Common Multiple of 11078 and 11082 = 61383198

Step 1: Find the prime factorization of 11078

11078 = 2 x 29 x 191

Step 2: Find the prime factorization of 11082

11082 = 2 x 3 x 1847

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

LCM = 61383198 = 2 x 3 x 29 x 191 x 1847

Step 4: Therefore, the least common multiple of 11078 and 11082 is 61383198.