Least Common Multiple of 12454 and 12458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12454 and 12458 the smallest integer that is 77575966 that is divisible by both numbers.

Least Common Multiple (LCM) of 12454 and 12458 is 77575966.

LCM(12454,12458) = 77575966

LCM of 12454 and 12458

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

LCM of:
and

Least Common Multiple of 12454 and 12458

LCM of 12454 and 12458 is 77575966

Least common multiple can be found by multiplying the highest exponent prime factors of 12454 and 12458. First we will calculate the prime factors of 12454 and 12458.

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

Prime Factorization of 12458


2 12458
6229 6229
1

Prime factors of 12458 are 2,6229. Prime factorization of 12458 in exponential form is:

12458 = 21×62291

Now multiplying the highest exponent prime factors to calculate the LCM of 12454 and 12458.

LCM(12454,12458) = 21×131×4791×62291
LCM(12454,12458) = 77575966

Factors of 12454

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

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

Factors of 12458

List of positive integer factors of 12458 that divides 12458 without a remainder.

1, 2, 6229, 12458

Least Common Multiple of 12454 and 12458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12454 and 12458, than apply into the LCM equation.

GCF(12454,12458) = 2
LCM(12454,12458) = ( 12454 × 12458) / 2
LCM(12454,12458) = 155151932 / 2
LCM(12454,12458) = 77575966

Properties of LCM 12454 and 12458

(i) The LCM of 12458 and 12454 is associative

LCM of 12454 and 12458 = LCM of 12458 and 12454

Related Least Common Multiples of 12454

Related Least Common Multiples of 12458

Frequently Asked Questions on LCM of 12454 and 12458

1. What is the LCM of 12454 and 12458?

Answer: LCM of 12454 and 12458 is 77575966.

2. 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.

3. What are the Factors of 12458?

Answer: Factors of 12458 are 1, 2, 6229, 12458. There are 4 integers that are factors of 12458. The greatest factor of 12458 is 12458.

4. How to Find the LCM of 12454 and 12458?

Answer:

Least Common Multiple of 12454 and 12458 = 77575966

Step 1: Find the prime factorization of 12454

12454 = 2 x 13 x 479

Step 2: Find the prime factorization of 12458

12458 = 2 x 6229

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

LCM = 77575966 = 2 x 13 x 479 x 6229

Step 4: Therefore, the least common multiple of 12454 and 12458 is 77575966.