Least Common Multiple of 306446 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 306446 and 306450 the smallest integer that is 46955188350 that is divisible by both numbers.

Least Common Multiple (LCM) of 306446 and 306450 is 46955188350.

LCM(306446,306450) = 46955188350

LCM of 306446 and 306450

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

LCM of:
and

Least Common Multiple of 306446 and 306450

LCM of 306446 and 306450 is 46955188350

Least common multiple can be found by multiplying the highest exponent prime factors of 306446 and 306450. First we will calculate the prime factors of 306446 and 306450.

Prime Factorization of 306446


2 306446
7 153223
7 21889
53 3127
59 59
1

Prime factors of 306446 are 2, 7, 53,59. Prime factorization of 306446 in exponential form is:

306446 = 21×72×531×591

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 306446 and 306450.

LCM(306446,306450) = 21×33×52×72×531×591×2271
LCM(306446,306450) = 46955188350

Factors of 306446

List of positive integer factors of 306446 that divides 306446 without a remainder.

1, 2, 7, 14, 49, 53, 59, 98, 106, 118, 371, 413, 742, 826, 2597, 2891, 3127, 5194, 5782, 6254, 21889, 43778, 153223, 306446

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 306446 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 306446 and 306450, than apply into the LCM equation.

GCF(306446,306450) = 2
LCM(306446,306450) = ( 306446 × 306450) / 2
LCM(306446,306450) = 93910376700 / 2
LCM(306446,306450) = 46955188350

Properties of LCM 306446 and 306450

(i) The LCM of 306450 and 306446 is associative

LCM of 306446 and 306450 = LCM of 306450 and 306446

Related Least Common Multiples of 306446

Related Least Common Multiples of 306450

Frequently Asked Questions on LCM of 306446 and 306450

1. What is the LCM of 306446 and 306450?

Answer: LCM of 306446 and 306450 is 46955188350.

2. What are the Factors of 306446?

Answer: Factors of 306446 are 1, 2, 7, 14, 49, 53, 59, 98, 106, 118, 371, 413, 742, 826, 2597, 2891, 3127, 5194, 5782, 6254, 21889, 43778, 153223, 306446. There are 24 integers that are factors of 306446. The greatest factor of 306446 is 306446.

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 306446 and 306450?

Answer:

Least Common Multiple of 306446 and 306450 = 46955188350

Step 1: Find the prime factorization of 306446

306446 = 2 x 7 x 7 x 53 x 59

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 = 46955188350 = 2 x 3 x 3 x 3 x 5 x 5 x 7 x 7 x 53 x 59 x 227

Step 4: Therefore, the least common multiple of 306446 and 306450 is 46955188350.