Least Common Multiple of 306430 and 306436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 306430 and 306436 the smallest integer that is 46950591740 that is divisible by both numbers.

Least Common Multiple (LCM) of 306430 and 306436 is 46950591740.

LCM(306430,306436) = 46950591740

LCM of 306430 and 306436

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

LCM of:
and

Least Common Multiple of 306430 and 306436

LCM of 306430 and 306436 is 46950591740

Least common multiple can be found by multiplying the highest exponent prime factors of 306430 and 306436. First we will calculate the prime factors of 306430 and 306436.

Prime Factorization of 306430


2 306430
5 153215
30643 30643
1

Prime factors of 306430 are 2, 5,30643. Prime factorization of 306430 in exponential form is:

306430 = 21×51×306431

Prime Factorization of 306436


2 306436
2 153218
13 76609
71 5893
83 83
1

Prime factors of 306436 are 2, 13, 71,83. Prime factorization of 306436 in exponential form is:

306436 = 22×131×711×831

Now multiplying the highest exponent prime factors to calculate the LCM of 306430 and 306436.

LCM(306430,306436) = 22×51×131×711×831×306431
LCM(306430,306436) = 46950591740

Factors of 306430

List of positive integer factors of 306430 that divides 306430 without a remainder.

1, 2, 5, 10, 30643, 61286, 153215, 306430

Factors of 306436

List of positive integer factors of 306436 that divides 306436 without a remainder.

1, 2, 4, 13, 26, 52, 71, 83, 142, 166, 284, 332, 923, 1079, 1846, 2158, 3692, 4316, 5893, 11786, 23572, 76609, 153218, 306436

Least Common Multiple of 306430 and 306436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306430 and 306436, than apply into the LCM equation.

GCF(306430,306436) = 2
LCM(306430,306436) = ( 306430 × 306436) / 2
LCM(306430,306436) = 93901183480 / 2
LCM(306430,306436) = 46950591740

Properties of LCM 306430 and 306436

(i) The LCM of 306436 and 306430 is associative

LCM of 306430 and 306436 = LCM of 306436 and 306430

Related Least Common Multiples of 306430

Related Least Common Multiples of 306436

Frequently Asked Questions on LCM of 306430 and 306436

1. What is the LCM of 306430 and 306436?

Answer: LCM of 306430 and 306436 is 46950591740.

2. What are the Factors of 306430?

Answer: Factors of 306430 are 1, 2, 5, 10, 30643, 61286, 153215, 306430. There are 8 integers that are factors of 306430. The greatest factor of 306430 is 306430.

3. What are the Factors of 306436?

Answer: Factors of 306436 are 1, 2, 4, 13, 26, 52, 71, 83, 142, 166, 284, 332, 923, 1079, 1846, 2158, 3692, 4316, 5893, 11786, 23572, 76609, 153218, 306436. There are 24 integers that are factors of 306436. The greatest factor of 306436 is 306436.

4. How to Find the LCM of 306430 and 306436?

Answer:

Least Common Multiple of 306430 and 306436 = 46950591740

Step 1: Find the prime factorization of 306430

306430 = 2 x 5 x 30643

Step 2: Find the prime factorization of 306436

306436 = 2 x 2 x 13 x 71 x 83

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

LCM = 46950591740 = 2 x 2 x 5 x 13 x 71 x 83 x 30643

Step 4: Therefore, the least common multiple of 306430 and 306436 is 46950591740.