Least Common Multiple of 306430 and 306438

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 306438 the smallest integer that is 46950898170 that is divisible by both numbers.

Least Common Multiple (LCM) of 306430 and 306438 is 46950898170.

LCM(306430,306438) = 46950898170

LCM of 306430 and 306438

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

LCM of:
and

Least Common Multiple of 306430 and 306438

LCM of 306430 and 306438 is 46950898170

Least common multiple can be found by multiplying the highest exponent prime factors of 306430 and 306438. First we will calculate the prime factors of 306430 and 306438.

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 306438


2 306438
3 153219
11 51073
4643 4643
1

Prime factors of 306438 are 2, 3, 11,4643. Prime factorization of 306438 in exponential form is:

306438 = 21×31×111×46431

Now multiplying the highest exponent prime factors to calculate the LCM of 306430 and 306438.

LCM(306430,306438) = 21×31×51×111×46431×306431
LCM(306430,306438) = 46950898170

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 306438

List of positive integer factors of 306438 that divides 306438 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 4643, 9286, 13929, 27858, 51073, 102146, 153219, 306438

Least Common Multiple of 306430 and 306438 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 306438, than apply into the LCM equation.

GCF(306430,306438) = 2
LCM(306430,306438) = ( 306430 × 306438) / 2
LCM(306430,306438) = 93901796340 / 2
LCM(306430,306438) = 46950898170

Properties of LCM 306430 and 306438

(i) The LCM of 306438 and 306430 is associative

LCM of 306430 and 306438 = LCM of 306438 and 306430

Related Least Common Multiples of 306430

Related Least Common Multiples of 306438

Frequently Asked Questions on LCM of 306430 and 306438

1. What is the LCM of 306430 and 306438?

Answer: LCM of 306430 and 306438 is 46950898170.

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 306438?

Answer: Factors of 306438 are 1, 2, 3, 6, 11, 22, 33, 66, 4643, 9286, 13929, 27858, 51073, 102146, 153219, 306438. There are 16 integers that are factors of 306438. The greatest factor of 306438 is 306438.

4. How to Find the LCM of 306430 and 306438?

Answer:

Least Common Multiple of 306430 and 306438 = 46950898170

Step 1: Find the prime factorization of 306430

306430 = 2 x 5 x 30643

Step 2: Find the prime factorization of 306438

306438 = 2 x 3 x 11 x 4643

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

LCM = 46950898170 = 2 x 3 x 5 x 11 x 4643 x 30643

Step 4: Therefore, the least common multiple of 306430 and 306438 is 46950898170.