Least Common Multiple of 310446 and 310454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 310446 and 310454 the smallest integer that is 48189601242 that is divisible by both numbers.

Least Common Multiple (LCM) of 310446 and 310454 is 48189601242.

LCM(310446,310454) = 48189601242

LCM of 310446 and 310454

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

LCM of:
and

Least Common Multiple of 310446 and 310454

LCM of 310446 and 310454 is 48189601242

Least common multiple can be found by multiplying the highest exponent prime factors of 310446 and 310454. First we will calculate the prime factors of 310446 and 310454.

Prime Factorization of 310446


2 310446
3 155223
3 51741
3 17247
5749 5749
1

Prime factors of 310446 are 2, 3,5749. Prime factorization of 310446 in exponential form is:

310446 = 21×33×57491

Prime Factorization of 310454


2 310454
17 155227
23 9131
397 397
1

Prime factors of 310454 are 2, 17, 23,397. Prime factorization of 310454 in exponential form is:

310454 = 21×171×231×3971

Now multiplying the highest exponent prime factors to calculate the LCM of 310446 and 310454.

LCM(310446,310454) = 21×33×171×231×3971×57491
LCM(310446,310454) = 48189601242

Factors of 310446

List of positive integer factors of 310446 that divides 310446 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 5749, 11498, 17247, 34494, 51741, 103482, 155223, 310446

Factors of 310454

List of positive integer factors of 310454 that divides 310454 without a remainder.

1, 2, 17, 23, 34, 46, 391, 397, 782, 794, 6749, 9131, 13498, 18262, 155227, 310454

Least Common Multiple of 310446 and 310454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310446 and 310454, than apply into the LCM equation.

GCF(310446,310454) = 2
LCM(310446,310454) = ( 310446 × 310454) / 2
LCM(310446,310454) = 96379202484 / 2
LCM(310446,310454) = 48189601242

Properties of LCM 310446 and 310454

(i) The LCM of 310454 and 310446 is associative

LCM of 310446 and 310454 = LCM of 310454 and 310446

Related Least Common Multiples of 310446

Related Least Common Multiples of 310454

Frequently Asked Questions on LCM of 310446 and 310454

1. What is the LCM of 310446 and 310454?

Answer: LCM of 310446 and 310454 is 48189601242.

2. What are the Factors of 310446?

Answer: Factors of 310446 are 1, 2, 3, 6, 9, 18, 27, 54, 5749, 11498, 17247, 34494, 51741, 103482, 155223, 310446. There are 16 integers that are factors of 310446. The greatest factor of 310446 is 310446.

3. What are the Factors of 310454?

Answer: Factors of 310454 are 1, 2, 17, 23, 34, 46, 391, 397, 782, 794, 6749, 9131, 13498, 18262, 155227, 310454. There are 16 integers that are factors of 310454. The greatest factor of 310454 is 310454.

4. How to Find the LCM of 310446 and 310454?

Answer:

Least Common Multiple of 310446 and 310454 = 48189601242

Step 1: Find the prime factorization of 310446

310446 = 2 x 3 x 3 x 3 x 5749

Step 2: Find the prime factorization of 310454

310454 = 2 x 17 x 23 x 397

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

LCM = 48189601242 = 2 x 3 x 3 x 3 x 17 x 23 x 397 x 5749

Step 4: Therefore, the least common multiple of 310446 and 310454 is 48189601242.