Least Common Multiple of 306438 and 306442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 306438 and 306442 the smallest integer that is 46952736798 that is divisible by both numbers.

Least Common Multiple (LCM) of 306438 and 306442 is 46952736798.

LCM(306438,306442) = 46952736798

LCM of 306438 and 306442

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

LCM of:
and

Least Common Multiple of 306438 and 306442

LCM of 306438 and 306442 is 46952736798

Least common multiple can be found by multiplying the highest exponent prime factors of 306438 and 306442. First we will calculate the prime factors of 306438 and 306442.

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

Prime Factorization of 306442


2 306442
17 153221
9013 9013
1

Prime factors of 306442 are 2, 17,9013. Prime factorization of 306442 in exponential form is:

306442 = 21×171×90131

Now multiplying the highest exponent prime factors to calculate the LCM of 306438 and 306442.

LCM(306438,306442) = 21×31×111×171×46431×90131
LCM(306438,306442) = 46952736798

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

Factors of 306442

List of positive integer factors of 306442 that divides 306442 without a remainder.

1, 2, 17, 34, 9013, 18026, 153221, 306442

Least Common Multiple of 306438 and 306442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306438 and 306442, than apply into the LCM equation.

GCF(306438,306442) = 2
LCM(306438,306442) = ( 306438 × 306442) / 2
LCM(306438,306442) = 93905473596 / 2
LCM(306438,306442) = 46952736798

Properties of LCM 306438 and 306442

(i) The LCM of 306442 and 306438 is associative

LCM of 306438 and 306442 = LCM of 306442 and 306438

Related Least Common Multiples of 306438

Related Least Common Multiples of 306442

Frequently Asked Questions on LCM of 306438 and 306442

1. What is the LCM of 306438 and 306442?

Answer: LCM of 306438 and 306442 is 46952736798.

2. 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.

3. What are the Factors of 306442?

Answer: Factors of 306442 are 1, 2, 17, 34, 9013, 18026, 153221, 306442. There are 8 integers that are factors of 306442. The greatest factor of 306442 is 306442.

4. How to Find the LCM of 306438 and 306442?

Answer:

Least Common Multiple of 306438 and 306442 = 46952736798

Step 1: Find the prime factorization of 306438

306438 = 2 x 3 x 11 x 4643

Step 2: Find the prime factorization of 306442

306442 = 2 x 17 x 9013

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

LCM = 46952736798 = 2 x 3 x 11 x 17 x 4643 x 9013

Step 4: Therefore, the least common multiple of 306438 and 306442 is 46952736798.