Least Common Multiple of 306444 and 306450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 306444 and 306450 the smallest integer that is 15651627300 that is divisible by both numbers.

Least Common Multiple (LCM) of 306444 and 306450 is 15651627300.

LCM(306444,306450) = 15651627300

LCM of 306444 and 306450

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

LCM of:
and

Least Common Multiple of 306444 and 306450

LCM of 306444 and 306450 is 15651627300

Least common multiple can be found by multiplying the highest exponent prime factors of 306444 and 306450. First we will calculate the prime factors of 306444 and 306450.

Prime Factorization of 306444


2 306444
2 153222
3 76611
25537 25537
1

Prime factors of 306444 are 2, 3,25537. Prime factorization of 306444 in exponential form is:

306444 = 22×31×255371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 306444 and 306450.

LCM(306444,306450) = 22×33×52×2271×255371
LCM(306444,306450) = 15651627300

Factors of 306444

List of positive integer factors of 306444 that divides 306444 without a remainder.

1, 2, 3, 4, 6, 12, 25537, 51074, 76611, 102148, 153222, 306444

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

Least Common Multiple of 306444 and 306450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306444 and 306450, than apply into the LCM equation.

GCF(306444,306450) = 6
LCM(306444,306450) = ( 306444 × 306450) / 6
LCM(306444,306450) = 93909763800 / 6
LCM(306444,306450) = 15651627300

Properties of LCM 306444 and 306450

(i) The LCM of 306450 and 306444 is associative

LCM of 306444 and 306450 = LCM of 306450 and 306444

Related Least Common Multiples of 306444

Related Least Common Multiples of 306450

Frequently Asked Questions on LCM of 306444 and 306450

1. What is the LCM of 306444 and 306450?

Answer: LCM of 306444 and 306450 is 15651627300.

2. What are the Factors of 306444?

Answer: Factors of 306444 are 1, 2, 3, 4, 6, 12, 25537, 51074, 76611, 102148, 153222, 306444. There are 12 integers that are factors of 306444. The greatest factor of 306444 is 306444.

3. 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.

4. How to Find the LCM of 306444 and 306450?

Answer:

Least Common Multiple of 306444 and 306450 = 15651627300

Step 1: Find the prime factorization of 306444

306444 = 2 x 2 x 3 x 25537

Step 2: Find the prime factorization of 306450

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

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

LCM = 15651627300 = 2 x 2 x 3 x 3 x 3 x 5 x 5 x 227 x 25537

Step 4: Therefore, the least common multiple of 306444 and 306450 is 15651627300.