Least Common Multiple of 306424 and 306430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 306424 and 306430 the smallest integer that is 46948753160 that is divisible by both numbers.

Least Common Multiple (LCM) of 306424 and 306430 is 46948753160.

LCM(306424,306430) = 46948753160

LCM of 306424 and 306430

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

LCM of:
and

Least Common Multiple of 306424 and 306430

LCM of 306424 and 306430 is 46948753160

Least common multiple can be found by multiplying the highest exponent prime factors of 306424 and 306430. First we will calculate the prime factors of 306424 and 306430.

Prime Factorization of 306424


2 306424
2 153212
2 76606
38303 38303
1

Prime factors of 306424 are 2,38303. Prime factorization of 306424 in exponential form is:

306424 = 23×383031

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

Now multiplying the highest exponent prime factors to calculate the LCM of 306424 and 306430.

LCM(306424,306430) = 23×51×306431×383031
LCM(306424,306430) = 46948753160

Factors of 306424

List of positive integer factors of 306424 that divides 306424 without a remainder.

1, 2, 4, 8, 38303, 76606, 153212, 306424

Factors of 306430

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

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

Least Common Multiple of 306424 and 306430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306424 and 306430, than apply into the LCM equation.

GCF(306424,306430) = 2
LCM(306424,306430) = ( 306424 × 306430) / 2
LCM(306424,306430) = 93897506320 / 2
LCM(306424,306430) = 46948753160

Properties of LCM 306424 and 306430

(i) The LCM of 306430 and 306424 is associative

LCM of 306424 and 306430 = LCM of 306430 and 306424

Related Least Common Multiples of 306424

Related Least Common Multiples of 306430

Frequently Asked Questions on LCM of 306424 and 306430

1. What is the LCM of 306424 and 306430?

Answer: LCM of 306424 and 306430 is 46948753160.

2. What are the Factors of 306424?

Answer: Factors of 306424 are 1, 2, 4, 8, 38303, 76606, 153212, 306424. There are 8 integers that are factors of 306424. The greatest factor of 306424 is 306424.

3. 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.

4. How to Find the LCM of 306424 and 306430?

Answer:

Least Common Multiple of 306424 and 306430 = 46948753160

Step 1: Find the prime factorization of 306424

306424 = 2 x 2 x 2 x 38303

Step 2: Find the prime factorization of 306430

306430 = 2 x 5 x 30643

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

LCM = 46948753160 = 2 x 2 x 2 x 5 x 30643 x 38303

Step 4: Therefore, the least common multiple of 306424 and 306430 is 46948753160.