Least Common Multiple of 306450 and 306454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 306450 and 306454 the smallest integer that is 46956414150 that is divisible by both numbers.

Least Common Multiple (LCM) of 306450 and 306454 is 46956414150.

LCM(306450,306454) = 46956414150

LCM of 306450 and 306454

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

LCM of:
and

Least Common Multiple of 306450 and 306454

LCM of 306450 and 306454 is 46956414150

Least common multiple can be found by multiplying the highest exponent prime factors of 306450 and 306454. First we will calculate the prime factors of 306450 and 306454.

Prime Factorization of 306450


2 306450
3 153225
3 51075
3 17025
5 5675
5 1135
227 227
1

Prime factors of 306450 are 2, 3, 5,227. Prime factorization of 306450 in exponential form is:

306450 = 21×33×52×2271

Prime Factorization of 306454


2 306454
73 153227
2099 2099
1

Prime factors of 306454 are 2, 73,2099. Prime factorization of 306454 in exponential form is:

306454 = 21×731×20991

Now multiplying the highest exponent prime factors to calculate the LCM of 306450 and 306454.

LCM(306450,306454) = 21×33×52×731×2271×20991
LCM(306450,306454) = 46956414150

Factors of 306450

List of positive integer factors of 306450 that divides 306450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 227, 270, 450, 454, 675, 681, 1135, 1350, 1362, 2043, 2270, 3405, 4086, 5675, 6129, 6810, 10215, 11350, 12258, 17025, 20430, 30645, 34050, 51075, 61290, 102150, 153225, 306450

Factors of 306454

List of positive integer factors of 306454 that divides 306454 without a remainder.

1, 2, 73, 146, 2099, 4198, 153227, 306454

Least Common Multiple of 306450 and 306454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306450 and 306454, than apply into the LCM equation.

GCF(306450,306454) = 2
LCM(306450,306454) = ( 306450 × 306454) / 2
LCM(306450,306454) = 93912828300 / 2
LCM(306450,306454) = 46956414150

Properties of LCM 306450 and 306454

(i) The LCM of 306454 and 306450 is associative

LCM of 306450 and 306454 = LCM of 306454 and 306450

Related Least Common Multiples of 306450

Related Least Common Multiples of 306454

Frequently Asked Questions on LCM of 306450 and 306454

1. What is the LCM of 306450 and 306454?

Answer: LCM of 306450 and 306454 is 46956414150.

2. What are the Factors of 306450?

Answer: Factors of 306450 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 227, 270, 450, 454, 675, 681, 1135, 1350, 1362, 2043, 2270, 3405, 4086, 5675, 6129, 6810, 10215, 11350, 12258, 17025, 20430, 30645, 34050, 51075, 61290, 102150, 153225, 306450. There are 48 integers that are factors of 306450. The greatest factor of 306450 is 306450.

3. What are the Factors of 306454?

Answer: Factors of 306454 are 1, 2, 73, 146, 2099, 4198, 153227, 306454. There are 8 integers that are factors of 306454. The greatest factor of 306454 is 306454.

4. How to Find the LCM of 306450 and 306454?

Answer:

Least Common Multiple of 306450 and 306454 = 46956414150

Step 1: Find the prime factorization of 306450

306450 = 2 x 3 x 3 x 3 x 5 x 5 x 227

Step 2: Find the prime factorization of 306454

306454 = 2 x 73 x 2099

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

LCM = 46956414150 = 2 x 3 x 3 x 3 x 5 x 5 x 73 x 227 x 2099

Step 4: Therefore, the least common multiple of 306450 and 306454 is 46956414150.