Least Common Multiple of 316428 and 316432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 316428 and 316432 the smallest integer that is 25031986224 that is divisible by both numbers.

Least Common Multiple (LCM) of 316428 and 316432 is 25031986224.

LCM(316428,316432) = 25031986224

LCM of 316428 and 316432

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

LCM of:
and

Least Common Multiple of 316428 and 316432

LCM of 316428 and 316432 is 25031986224

Least common multiple can be found by multiplying the highest exponent prime factors of 316428 and 316432. First we will calculate the prime factors of 316428 and 316432.

Prime Factorization of 316428


2 316428
2 158214
3 79107
7 26369
3767 3767
1

Prime factors of 316428 are 2, 3, 7,3767. Prime factorization of 316428 in exponential form is:

316428 = 22×31×71×37671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 316428 and 316432.

LCM(316428,316432) = 24×31×71×37671×197771
LCM(316428,316432) = 25031986224

Factors of 316428

List of positive integer factors of 316428 that divides 316428 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 3767, 7534, 11301, 15068, 22602, 26369, 45204, 52738, 79107, 105476, 158214, 316428

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

Least Common Multiple of 316428 and 316432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 316428 and 316432, than apply into the LCM equation.

GCF(316428,316432) = 4
LCM(316428,316432) = ( 316428 × 316432) / 4
LCM(316428,316432) = 100127944896 / 4
LCM(316428,316432) = 25031986224

Properties of LCM 316428 and 316432

(i) The LCM of 316432 and 316428 is associative

LCM of 316428 and 316432 = LCM of 316432 and 316428

Related Least Common Multiples of 316428

Related Least Common Multiples of 316432

Frequently Asked Questions on LCM of 316428 and 316432

1. What is the LCM of 316428 and 316432?

Answer: LCM of 316428 and 316432 is 25031986224.

2. What are the Factors of 316428?

Answer: Factors of 316428 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 3767, 7534, 11301, 15068, 22602, 26369, 45204, 52738, 79107, 105476, 158214, 316428. There are 24 integers that are factors of 316428. The greatest factor of 316428 is 316428.

3. 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.

4. How to Find the LCM of 316428 and 316432?

Answer:

Least Common Multiple of 316428 and 316432 = 25031986224

Step 1: Find the prime factorization of 316428

316428 = 2 x 2 x 3 x 7 x 3767

Step 2: Find the prime factorization of 316432

316432 = 2 x 2 x 2 x 2 x 19777

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

LCM = 25031986224 = 2 x 2 x 2 x 2 x 3 x 7 x 3767 x 19777

Step 4: Therefore, the least common multiple of 316428 and 316432 is 25031986224.