Least Common Multiple of 11038 and 11046

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 11038 and 11046 the smallest integer that is 60962874 that is divisible by both numbers.

Least Common Multiple (LCM) of 11038 and 11046 is 60962874.

LCM(11038,11046) = 60962874

LCM of 11038 and 11046

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

LCM of:
and

Least Common Multiple of 11038 and 11046

LCM of 11038 and 11046 is 60962874

Least common multiple can be found by multiplying the highest exponent prime factors of 11038 and 11046. First we will calculate the prime factors of 11038 and 11046.

Prime Factorization of 11038


2 11038
5519 5519
1

Prime factors of 11038 are 2,5519. Prime factorization of 11038 in exponential form is:

11038 = 21×55191

Prime Factorization of 11046


2 11046
3 5523
7 1841
263 263
1

Prime factors of 11046 are 2, 3, 7,263. Prime factorization of 11046 in exponential form is:

11046 = 21×31×71×2631

Now multiplying the highest exponent prime factors to calculate the LCM of 11038 and 11046.

LCM(11038,11046) = 21×31×71×2631×55191
LCM(11038,11046) = 60962874

Factors of 11038

List of positive integer factors of 11038 that divides 11038 without a remainder.

1, 2, 5519, 11038

Factors of 11046

List of positive integer factors of 11046 that divides 11046 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 263, 526, 789, 1578, 1841, 3682, 5523, 11046

Least Common Multiple of 11038 and 11046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11038 and 11046, than apply into the LCM equation.

GCF(11038,11046) = 2
LCM(11038,11046) = ( 11038 × 11046) / 2
LCM(11038,11046) = 121925748 / 2
LCM(11038,11046) = 60962874

Properties of LCM 11038 and 11046

(i) The LCM of 11046 and 11038 is associative

LCM of 11038 and 11046 = LCM of 11046 and 11038

Related Least Common Multiples of 11038

Related Least Common Multiples of 11046

Frequently Asked Questions on LCM of 11038 and 11046

1. What is the LCM of 11038 and 11046?

Answer: LCM of 11038 and 11046 is 60962874.

2. What are the Factors of 11038?

Answer: Factors of 11038 are 1, 2, 5519, 11038. There are 4 integers that are factors of 11038. The greatest factor of 11038 is 11038.

3. What are the Factors of 11046?

Answer: Factors of 11046 are 1, 2, 3, 6, 7, 14, 21, 42, 263, 526, 789, 1578, 1841, 3682, 5523, 11046. There are 16 integers that are factors of 11046. The greatest factor of 11046 is 11046.

4. How to Find the LCM of 11038 and 11046?

Answer:

Least Common Multiple of 11038 and 11046 = 60962874

Step 1: Find the prime factorization of 11038

11038 = 2 x 5519

Step 2: Find the prime factorization of 11046

11046 = 2 x 3 x 7 x 263

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

LCM = 60962874 = 2 x 3 x 7 x 263 x 5519

Step 4: Therefore, the least common multiple of 11038 and 11046 is 60962874.