Least Common Multiple of 306402 and 306405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 306402 and 306405 the smallest integer that is 31294368270 that is divisible by both numbers.

Least Common Multiple (LCM) of 306402 and 306405 is 31294368270.

LCM(306402,306405) = 31294368270

LCM of 306402 and 306405

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

LCM of:
and

Least Common Multiple of 306402 and 306405

LCM of 306402 and 306405 is 31294368270

Least common multiple can be found by multiplying the highest exponent prime factors of 306402 and 306405. First we will calculate the prime factors of 306402 and 306405.

Prime Factorization of 306402


2 306402
3 153201
223 51067
229 229
1

Prime factors of 306402 are 2, 3, 223,229. Prime factorization of 306402 in exponential form is:

306402 = 21×31×2231×2291

Prime Factorization of 306405


3 306405
3 102135
5 34045
11 6809
619 619
1

Prime factors of 306405 are 3, 5, 11,619. Prime factorization of 306405 in exponential form is:

306405 = 32×51×111×6191

Now multiplying the highest exponent prime factors to calculate the LCM of 306402 and 306405.

LCM(306402,306405) = 21×32×51×111×2231×2291×6191
LCM(306402,306405) = 31294368270

Factors of 306402

List of positive integer factors of 306402 that divides 306402 without a remainder.

1, 2, 3, 6, 223, 229, 446, 458, 669, 687, 1338, 1374, 51067, 102134, 153201, 306402

Factors of 306405

List of positive integer factors of 306405 that divides 306405 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495, 619, 1857, 3095, 5571, 6809, 9285, 20427, 27855, 34045, 61281, 102135, 306405

Least Common Multiple of 306402 and 306405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306402 and 306405, than apply into the LCM equation.

GCF(306402,306405) = 3
LCM(306402,306405) = ( 306402 × 306405) / 3
LCM(306402,306405) = 93883104810 / 3
LCM(306402,306405) = 31294368270

Properties of LCM 306402 and 306405

(i) The LCM of 306405 and 306402 is associative

LCM of 306402 and 306405 = LCM of 306405 and 306402

Related Least Common Multiples of 306402

Related Least Common Multiples of 306405

Frequently Asked Questions on LCM of 306402 and 306405

1. What is the LCM of 306402 and 306405?

Answer: LCM of 306402 and 306405 is 31294368270.

2. What are the Factors of 306402?

Answer: Factors of 306402 are 1, 2, 3, 6, 223, 229, 446, 458, 669, 687, 1338, 1374, 51067, 102134, 153201, 306402. There are 16 integers that are factors of 306402. The greatest factor of 306402 is 306402.

3. What are the Factors of 306405?

Answer: Factors of 306405 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495, 619, 1857, 3095, 5571, 6809, 9285, 20427, 27855, 34045, 61281, 102135, 306405. There are 24 integers that are factors of 306405. The greatest factor of 306405 is 306405.

4. How to Find the LCM of 306402 and 306405?

Answer:

Least Common Multiple of 306402 and 306405 = 31294368270

Step 1: Find the prime factorization of 306402

306402 = 2 x 3 x 223 x 229

Step 2: Find the prime factorization of 306405

306405 = 3 x 3 x 5 x 11 x 619

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

LCM = 31294368270 = 2 x 3 x 3 x 5 x 11 x 223 x 229 x 619

Step 4: Therefore, the least common multiple of 306402 and 306405 is 31294368270.