Least Common Multiple of 306450 and 306455

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 306455 the smallest integer that is 18782626950 that is divisible by both numbers.

Least Common Multiple (LCM) of 306450 and 306455 is 18782626950.

LCM(306450,306455) = 18782626950

LCM of 306450 and 306455

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

LCM of:
and

Least Common Multiple of 306450 and 306455

LCM of 306450 and 306455 is 18782626950

Least common multiple can be found by multiplying the highest exponent prime factors of 306450 and 306455. First we will calculate the prime factors of 306450 and 306455.

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 306455


5 306455
61291 61291
1

Prime factors of 306455 are 5,61291. Prime factorization of 306455 in exponential form is:

306455 = 51×612911

Now multiplying the highest exponent prime factors to calculate the LCM of 306450 and 306455.

LCM(306450,306455) = 21×33×52×2271×612911
LCM(306450,306455) = 18782626950

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 306455

List of positive integer factors of 306455 that divides 306455 without a remainder.

1, 5, 61291, 306455

Least Common Multiple of 306450 and 306455 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 306455, than apply into the LCM equation.

GCF(306450,306455) = 5
LCM(306450,306455) = ( 306450 × 306455) / 5
LCM(306450,306455) = 93913134750 / 5
LCM(306450,306455) = 18782626950

Properties of LCM 306450 and 306455

(i) The LCM of 306455 and 306450 is associative

LCM of 306450 and 306455 = LCM of 306455 and 306450

Related Least Common Multiples of 306450

Related Least Common Multiples of 306455

Frequently Asked Questions on LCM of 306450 and 306455

1. What is the LCM of 306450 and 306455?

Answer: LCM of 306450 and 306455 is 18782626950.

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 306455?

Answer: Factors of 306455 are 1, 5, 61291, 306455. There are 4 integers that are factors of 306455. The greatest factor of 306455 is 306455.

4. How to Find the LCM of 306450 and 306455?

Answer:

Least Common Multiple of 306450 and 306455 = 18782626950

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 306455

306455 = 5 x 61291

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

LCM = 18782626950 = 2 x 3 x 3 x 3 x 5 x 5 x 227 x 61291

Step 4: Therefore, the least common multiple of 306450 and 306455 is 18782626950.