Least Common Multiple of 11334 and 11338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 11334 and 11338 the smallest integer that is 64252446 that is divisible by both numbers.

Least Common Multiple (LCM) of 11334 and 11338 is 64252446.

LCM(11334,11338) = 64252446

LCM of 11334 and 11338

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

LCM of:
and

Least Common Multiple of 11334 and 11338

LCM of 11334 and 11338 is 64252446

Least common multiple can be found by multiplying the highest exponent prime factors of 11334 and 11338. First we will calculate the prime factors of 11334 and 11338.

Prime Factorization of 11334


2 11334
3 5667
1889 1889
1

Prime factors of 11334 are 2, 3,1889. Prime factorization of 11334 in exponential form is:

11334 = 21×31×18891

Prime Factorization of 11338


2 11338
5669 5669
1

Prime factors of 11338 are 2,5669. Prime factorization of 11338 in exponential form is:

11338 = 21×56691

Now multiplying the highest exponent prime factors to calculate the LCM of 11334 and 11338.

LCM(11334,11338) = 21×31×18891×56691
LCM(11334,11338) = 64252446

Factors of 11334

List of positive integer factors of 11334 that divides 11334 without a remainder.

1, 2, 3, 6, 1889, 3778, 5667, 11334

Factors of 11338

List of positive integer factors of 11338 that divides 11338 without a remainder.

1, 2, 5669, 11338

Least Common Multiple of 11334 and 11338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11334 and 11338, than apply into the LCM equation.

GCF(11334,11338) = 2
LCM(11334,11338) = ( 11334 × 11338) / 2
LCM(11334,11338) = 128504892 / 2
LCM(11334,11338) = 64252446

Properties of LCM 11334 and 11338

(i) The LCM of 11338 and 11334 is associative

LCM of 11334 and 11338 = LCM of 11338 and 11334

Related Least Common Multiples of 11334

Related Least Common Multiples of 11338

Frequently Asked Questions on LCM of 11334 and 11338

1. What is the LCM of 11334 and 11338?

Answer: LCM of 11334 and 11338 is 64252446.

2. What are the Factors of 11334?

Answer: Factors of 11334 are 1, 2, 3, 6, 1889, 3778, 5667, 11334. There are 8 integers that are factors of 11334. The greatest factor of 11334 is 11334.

3. What are the Factors of 11338?

Answer: Factors of 11338 are 1, 2, 5669, 11338. There are 4 integers that are factors of 11338. The greatest factor of 11338 is 11338.

4. How to Find the LCM of 11334 and 11338?

Answer:

Least Common Multiple of 11334 and 11338 = 64252446

Step 1: Find the prime factorization of 11334

11334 = 2 x 3 x 1889

Step 2: Find the prime factorization of 11338

11338 = 2 x 5669

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

LCM = 64252446 = 2 x 3 x 1889 x 5669

Step 4: Therefore, the least common multiple of 11334 and 11338 is 64252446.