Least Common Multiple of 31468 and 31472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 31468 and 31472 the smallest integer that is 247590224 that is divisible by both numbers.

Least Common Multiple (LCM) of 31468 and 31472 is 247590224.

LCM(31468,31472) = 247590224

LCM of 31468 and 31472

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

LCM of:
and

Least Common Multiple of 31468 and 31472

LCM of 31468 and 31472 is 247590224

Least common multiple can be found by multiplying the highest exponent prime factors of 31468 and 31472. First we will calculate the prime factors of 31468 and 31472.

Prime Factorization of 31468


2 31468
2 15734
7867 7867
1

Prime factors of 31468 are 2,7867. Prime factorization of 31468 in exponential form is:

31468 = 22×78671

Prime Factorization of 31472


2 31472
2 15736
2 7868
2 3934
7 1967
281 281
1

Prime factors of 31472 are 2, 7,281. Prime factorization of 31472 in exponential form is:

31472 = 24×71×2811

Now multiplying the highest exponent prime factors to calculate the LCM of 31468 and 31472.

LCM(31468,31472) = 24×71×2811×78671
LCM(31468,31472) = 247590224

Factors of 31468

List of positive integer factors of 31468 that divides 31468 without a remainder.

1, 2, 4, 7867, 15734, 31468

Factors of 31472

List of positive integer factors of 31472 that divides 31472 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 281, 562, 1124, 1967, 2248, 3934, 4496, 7868, 15736, 31472

Least Common Multiple of 31468 and 31472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31468 and 31472, than apply into the LCM equation.

GCF(31468,31472) = 4
LCM(31468,31472) = ( 31468 × 31472) / 4
LCM(31468,31472) = 990360896 / 4
LCM(31468,31472) = 247590224

Properties of LCM 31468 and 31472

(i) The LCM of 31472 and 31468 is associative

LCM of 31468 and 31472 = LCM of 31472 and 31468

Related Least Common Multiples of 31468

Related Least Common Multiples of 31472

Frequently Asked Questions on LCM of 31468 and 31472

1. What is the LCM of 31468 and 31472?

Answer: LCM of 31468 and 31472 is 247590224.

2. What are the Factors of 31468?

Answer: Factors of 31468 are 1, 2, 4, 7867, 15734, 31468. There are 6 integers that are factors of 31468. The greatest factor of 31468 is 31468.

3. What are the Factors of 31472?

Answer: Factors of 31472 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 281, 562, 1124, 1967, 2248, 3934, 4496, 7868, 15736, 31472. There are 20 integers that are factors of 31472. The greatest factor of 31472 is 31472.

4. How to Find the LCM of 31468 and 31472?

Answer:

Least Common Multiple of 31468 and 31472 = 247590224

Step 1: Find the prime factorization of 31468

31468 = 2 x 2 x 7867

Step 2: Find the prime factorization of 31472

31472 = 2 x 2 x 2 x 2 x 7 x 281

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

LCM = 247590224 = 2 x 2 x 2 x 2 x 7 x 281 x 7867

Step 4: Therefore, the least common multiple of 31468 and 31472 is 247590224.