Least Common Multiple of 306445 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 306445 and 306450 the smallest integer that is 18782014050 that is divisible by both numbers.

Least Common Multiple (LCM) of 306445 and 306450 is 18782014050.

LCM(306445,306450) = 18782014050

LCM of 306445 and 306450

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

LCM of:
and

Least Common Multiple of 306445 and 306450

LCM of 306445 and 306450 is 18782014050

Least common multiple can be found by multiplying the highest exponent prime factors of 306445 and 306450. First we will calculate the prime factors of 306445 and 306450.

Prime Factorization of 306445


5 306445
167 61289
367 367
1

Prime factors of 306445 are 5, 167,367. Prime factorization of 306445 in exponential form is:

306445 = 51×1671×3671

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 306445 and 306450.

LCM(306445,306450) = 21×33×52×1671×2271×3671
LCM(306445,306450) = 18782014050

Factors of 306445

List of positive integer factors of 306445 that divides 306445 without a remainder.

1, 5, 167, 367, 835, 1835, 61289, 306445

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 306445 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 306445 and 306450, than apply into the LCM equation.

GCF(306445,306450) = 5
LCM(306445,306450) = ( 306445 × 306450) / 5
LCM(306445,306450) = 93910070250 / 5
LCM(306445,306450) = 18782014050

Properties of LCM 306445 and 306450

(i) The LCM of 306450 and 306445 is associative

LCM of 306445 and 306450 = LCM of 306450 and 306445

Related Least Common Multiples of 306445

Related Least Common Multiples of 306450

Frequently Asked Questions on LCM of 306445 and 306450

1. What is the LCM of 306445 and 306450?

Answer: LCM of 306445 and 306450 is 18782014050.

2. What are the Factors of 306445?

Answer: Factors of 306445 are 1, 5, 167, 367, 835, 1835, 61289, 306445. There are 8 integers that are factors of 306445. The greatest factor of 306445 is 306445.

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 306445 and 306450?

Answer:

Least Common Multiple of 306445 and 306450 = 18782014050

Step 1: Find the prime factorization of 306445

306445 = 5 x 167 x 367

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 = 18782014050 = 2 x 3 x 3 x 3 x 5 x 5 x 167 x 227 x 367

Step 4: Therefore, the least common multiple of 306445 and 306450 is 18782014050.