Least Common Multiple of 308432 and 308438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 308432 and 308438 the smallest integer that is 47566074608 that is divisible by both numbers.

Least Common Multiple (LCM) of 308432 and 308438 is 47566074608.

LCM(308432,308438) = 47566074608

LCM of 308432 and 308438

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

LCM of:
and

Least Common Multiple of 308432 and 308438

LCM of 308432 and 308438 is 47566074608

Least common multiple can be found by multiplying the highest exponent prime factors of 308432 and 308438. First we will calculate the prime factors of 308432 and 308438.

Prime Factorization of 308432


2 308432
2 154216
2 77108
2 38554
37 19277
521 521
1

Prime factors of 308432 are 2, 37,521. Prime factorization of 308432 in exponential form is:

308432 = 24×371×5211

Prime Factorization of 308438


2 308438
13 154219
11863 11863
1

Prime factors of 308438 are 2, 13,11863. Prime factorization of 308438 in exponential form is:

308438 = 21×131×118631

Now multiplying the highest exponent prime factors to calculate the LCM of 308432 and 308438.

LCM(308432,308438) = 24×131×371×5211×118631
LCM(308432,308438) = 47566074608

Factors of 308432

List of positive integer factors of 308432 that divides 308432 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 521, 592, 1042, 2084, 4168, 8336, 19277, 38554, 77108, 154216, 308432

Factors of 308438

List of positive integer factors of 308438 that divides 308438 without a remainder.

1, 2, 13, 26, 11863, 23726, 154219, 308438

Least Common Multiple of 308432 and 308438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 308432 and 308438, than apply into the LCM equation.

GCF(308432,308438) = 2
LCM(308432,308438) = ( 308432 × 308438) / 2
LCM(308432,308438) = 95132149216 / 2
LCM(308432,308438) = 47566074608

Properties of LCM 308432 and 308438

(i) The LCM of 308438 and 308432 is associative

LCM of 308432 and 308438 = LCM of 308438 and 308432

Related Least Common Multiples of 308432

Related Least Common Multiples of 308438

Frequently Asked Questions on LCM of 308432 and 308438

1. What is the LCM of 308432 and 308438?

Answer: LCM of 308432 and 308438 is 47566074608.

2. What are the Factors of 308432?

Answer: Factors of 308432 are 1, 2, 4, 8, 16, 37, 74, 148, 296, 521, 592, 1042, 2084, 4168, 8336, 19277, 38554, 77108, 154216, 308432. There are 20 integers that are factors of 308432. The greatest factor of 308432 is 308432.

3. What are the Factors of 308438?

Answer: Factors of 308438 are 1, 2, 13, 26, 11863, 23726, 154219, 308438. There are 8 integers that are factors of 308438. The greatest factor of 308438 is 308438.

4. How to Find the LCM of 308432 and 308438?

Answer:

Least Common Multiple of 308432 and 308438 = 47566074608

Step 1: Find the prime factorization of 308432

308432 = 2 x 2 x 2 x 2 x 37 x 521

Step 2: Find the prime factorization of 308438

308438 = 2 x 13 x 11863

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

LCM = 47566074608 = 2 x 2 x 2 x 2 x 13 x 37 x 521 x 11863

Step 4: Therefore, the least common multiple of 308432 and 308438 is 47566074608.