Least Common Multiple of 12446 and 12454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12446 and 12454 the smallest integer that is 77501242 that is divisible by both numbers.

Least Common Multiple (LCM) of 12446 and 12454 is 77501242.

LCM(12446,12454) = 77501242

LCM of 12446 and 12454

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

LCM of:
and

Least Common Multiple of 12446 and 12454

LCM of 12446 and 12454 is 77501242

Least common multiple can be found by multiplying the highest exponent prime factors of 12446 and 12454. First we will calculate the prime factors of 12446 and 12454.

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

Prime Factorization of 12454


2 12454
13 6227
479 479
1

Prime factors of 12454 are 2, 13,479. Prime factorization of 12454 in exponential form is:

12454 = 21×131×4791

Now multiplying the highest exponent prime factors to calculate the LCM of 12446 and 12454.

LCM(12446,12454) = 21×72×131×1271×4791
LCM(12446,12454) = 77501242

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

Factors of 12454

List of positive integer factors of 12454 that divides 12454 without a remainder.

1, 2, 13, 26, 479, 958, 6227, 12454

Least Common Multiple of 12446 and 12454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12446 and 12454, than apply into the LCM equation.

GCF(12446,12454) = 2
LCM(12446,12454) = ( 12446 × 12454) / 2
LCM(12446,12454) = 155002484 / 2
LCM(12446,12454) = 77501242

Properties of LCM 12446 and 12454

(i) The LCM of 12454 and 12446 is associative

LCM of 12446 and 12454 = LCM of 12454 and 12446

Related Least Common Multiples of 12446

Related Least Common Multiples of 12454

Frequently Asked Questions on LCM of 12446 and 12454

1. What is the LCM of 12446 and 12454?

Answer: LCM of 12446 and 12454 is 77501242.

2. 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.

3. What are the Factors of 12454?

Answer: Factors of 12454 are 1, 2, 13, 26, 479, 958, 6227, 12454. There are 8 integers that are factors of 12454. The greatest factor of 12454 is 12454.

4. How to Find the LCM of 12446 and 12454?

Answer:

Least Common Multiple of 12446 and 12454 = 77501242

Step 1: Find the prime factorization of 12446

12446 = 2 x 7 x 7 x 127

Step 2: Find the prime factorization of 12454

12454 = 2 x 13 x 479

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

LCM = 77501242 = 2 x 7 x 7 x 13 x 127 x 479

Step 4: Therefore, the least common multiple of 12446 and 12454 is 77501242.