Least Common Multiple of 12441 and 12446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12441 and 12446 the smallest integer that is 154840686 that is divisible by both numbers.

Least Common Multiple (LCM) of 12441 and 12446 is 154840686.

LCM(12441,12446) = 154840686

LCM of 12441 and 12446

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

LCM of:
and

Least Common Multiple of 12441 and 12446

LCM of 12441 and 12446 is 154840686

Least common multiple can be found by multiplying the highest exponent prime factors of 12441 and 12446. First we will calculate the prime factors of 12441 and 12446.

Prime Factorization of 12441


3 12441
11 4147
13 377
29 29
1

Prime factors of 12441 are 3, 11, 13,29. Prime factorization of 12441 in exponential form is:

12441 = 31×111×131×291

Prime Factorization of 12446


2 12446
7 6223
7 889
127 127
1

Prime factors of 12446 are 2, 7,127. Prime factorization of 12446 in exponential form is:

12446 = 21×72×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 12441 and 12446.

LCM(12441,12446) = 21×31×72×111×131×291×1271
LCM(12441,12446) = 154840686

Factors of 12441

List of positive integer factors of 12441 that divides 12441 without a remainder.

1, 3, 11, 13, 29, 33, 39, 87, 143, 319, 377, 429, 957, 1131, 4147, 12441

Factors of 12446

List of positive integer factors of 12446 that divides 12446 without a remainder.

1, 2, 7, 14, 49, 98, 127, 254, 889, 1778, 6223, 12446

Least Common Multiple of 12441 and 12446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12441 and 12446, than apply into the LCM equation.

GCF(12441,12446) = 1
LCM(12441,12446) = ( 12441 × 12446) / 1
LCM(12441,12446) = 154840686 / 1
LCM(12441,12446) = 154840686

Properties of LCM 12441 and 12446

(i) The LCM of 12446 and 12441 is associative

LCM of 12441 and 12446 = LCM of 12446 and 12441

Related Least Common Multiples of 12441

Related Least Common Multiples of 12446

Frequently Asked Questions on LCM of 12441 and 12446

1. What is the LCM of 12441 and 12446?

Answer: LCM of 12441 and 12446 is 154840686.

2. What are the Factors of 12441?

Answer: Factors of 12441 are 1, 3, 11, 13, 29, 33, 39, 87, 143, 319, 377, 429, 957, 1131, 4147, 12441. There are 16 integers that are factors of 12441. The greatest factor of 12441 is 12441.

3. What are the Factors of 12446?

Answer: Factors of 12446 are 1, 2, 7, 14, 49, 98, 127, 254, 889, 1778, 6223, 12446. There are 12 integers that are factors of 12446. The greatest factor of 12446 is 12446.

4. How to Find the LCM of 12441 and 12446?

Answer:

Least Common Multiple of 12441 and 12446 = 154840686

Step 1: Find the prime factorization of 12441

12441 = 3 x 11 x 13 x 29

Step 2: Find the prime factorization of 12446

12446 = 2 x 7 x 7 x 127

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

LCM = 154840686 = 2 x 3 x 7 x 7 x 11 x 13 x 29 x 127

Step 4: Therefore, the least common multiple of 12441 and 12446 is 154840686.