Least Common Multiple of 316432 and 316438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 316432 and 316438 the smallest integer that is 50065554608 that is divisible by both numbers.

Least Common Multiple (LCM) of 316432 and 316438 is 50065554608.

LCM(316432,316438) = 50065554608

LCM of 316432 and 316438

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

LCM of:
and

Least Common Multiple of 316432 and 316438

LCM of 316432 and 316438 is 50065554608

Least common multiple can be found by multiplying the highest exponent prime factors of 316432 and 316438. First we will calculate the prime factors of 316432 and 316438.

Prime Factorization of 316432


2 316432
2 158216
2 79108
2 39554
19777 19777
1

Prime factors of 316432 are 2,19777. Prime factorization of 316432 in exponential form is:

316432 = 24×197771

Prime Factorization of 316438


2 316438
17 158219
41 9307
227 227
1

Prime factors of 316438 are 2, 17, 41,227. Prime factorization of 316438 in exponential form is:

316438 = 21×171×411×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 316432 and 316438.

LCM(316432,316438) = 24×171×411×2271×197771
LCM(316432,316438) = 50065554608

Factors of 316432

List of positive integer factors of 316432 that divides 316432 without a remainder.

1, 2, 4, 8, 16, 19777, 39554, 79108, 158216, 316432

Factors of 316438

List of positive integer factors of 316438 that divides 316438 without a remainder.

1, 2, 17, 34, 41, 82, 227, 454, 697, 1394, 3859, 7718, 9307, 18614, 158219, 316438

Least Common Multiple of 316432 and 316438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 316432 and 316438, than apply into the LCM equation.

GCF(316432,316438) = 2
LCM(316432,316438) = ( 316432 × 316438) / 2
LCM(316432,316438) = 100131109216 / 2
LCM(316432,316438) = 50065554608

Properties of LCM 316432 and 316438

(i) The LCM of 316438 and 316432 is associative

LCM of 316432 and 316438 = LCM of 316438 and 316432

Related Least Common Multiples of 316432

Related Least Common Multiples of 316438

Frequently Asked Questions on LCM of 316432 and 316438

1. What is the LCM of 316432 and 316438?

Answer: LCM of 316432 and 316438 is 50065554608.

2. What are the Factors of 316432?

Answer: Factors of 316432 are 1, 2, 4, 8, 16, 19777, 39554, 79108, 158216, 316432. There are 10 integers that are factors of 316432. The greatest factor of 316432 is 316432.

3. What are the Factors of 316438?

Answer: Factors of 316438 are 1, 2, 17, 34, 41, 82, 227, 454, 697, 1394, 3859, 7718, 9307, 18614, 158219, 316438. There are 16 integers that are factors of 316438. The greatest factor of 316438 is 316438.

4. How to Find the LCM of 316432 and 316438?

Answer:

Least Common Multiple of 316432 and 316438 = 50065554608

Step 1: Find the prime factorization of 316432

316432 = 2 x 2 x 2 x 2 x 19777

Step 2: Find the prime factorization of 316438

316438 = 2 x 17 x 41 x 227

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

LCM = 50065554608 = 2 x 2 x 2 x 2 x 17 x 41 x 227 x 19777

Step 4: Therefore, the least common multiple of 316432 and 316438 is 50065554608.