Least Common Multiple of 31448 and 31456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 31448 and 31456 the smallest integer that is 123653536 that is divisible by both numbers.

Least Common Multiple (LCM) of 31448 and 31456 is 123653536.

LCM(31448,31456) = 123653536

LCM of 31448 and 31456

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

LCM of:
and

Least Common Multiple of 31448 and 31456

LCM of 31448 and 31456 is 123653536

Least common multiple can be found by multiplying the highest exponent prime factors of 31448 and 31456. First we will calculate the prime factors of 31448 and 31456.

Prime Factorization of 31448


2 31448
2 15724
2 7862
3931 3931
1

Prime factors of 31448 are 2,3931. Prime factorization of 31448 in exponential form is:

31448 = 23×39311

Prime Factorization of 31456


2 31456
2 15728
2 7864
2 3932
2 1966
983 983
1

Prime factors of 31456 are 2,983. Prime factorization of 31456 in exponential form is:

31456 = 25×9831

Now multiplying the highest exponent prime factors to calculate the LCM of 31448 and 31456.

LCM(31448,31456) = 25×9831×39311
LCM(31448,31456) = 123653536

Factors of 31448

List of positive integer factors of 31448 that divides 31448 without a remainder.

1, 2, 4, 8, 3931, 7862, 15724, 31448

Factors of 31456

List of positive integer factors of 31456 that divides 31456 without a remainder.

1, 2, 4, 8, 16, 32, 983, 1966, 3932, 7864, 15728, 31456

Least Common Multiple of 31448 and 31456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31448 and 31456, than apply into the LCM equation.

GCF(31448,31456) = 8
LCM(31448,31456) = ( 31448 × 31456) / 8
LCM(31448,31456) = 989228288 / 8
LCM(31448,31456) = 123653536

Properties of LCM 31448 and 31456

(i) The LCM of 31456 and 31448 is associative

LCM of 31448 and 31456 = LCM of 31456 and 31448

Related Least Common Multiples of 31448

Related Least Common Multiples of 31456

Frequently Asked Questions on LCM of 31448 and 31456

1. What is the LCM of 31448 and 31456?

Answer: LCM of 31448 and 31456 is 123653536.

2. What are the Factors of 31448?

Answer: Factors of 31448 are 1, 2, 4, 8, 3931, 7862, 15724, 31448. There are 8 integers that are factors of 31448. The greatest factor of 31448 is 31448.

3. What are the Factors of 31456?

Answer: Factors of 31456 are 1, 2, 4, 8, 16, 32, 983, 1966, 3932, 7864, 15728, 31456. There are 12 integers that are factors of 31456. The greatest factor of 31456 is 31456.

4. How to Find the LCM of 31448 and 31456?

Answer:

Least Common Multiple of 31448 and 31456 = 123653536

Step 1: Find the prime factorization of 31448

31448 = 2 x 2 x 2 x 3931

Step 2: Find the prime factorization of 31456

31456 = 2 x 2 x 2 x 2 x 2 x 983

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

LCM = 123653536 = 2 x 2 x 2 x 2 x 2 x 983 x 3931

Step 4: Therefore, the least common multiple of 31448 and 31456 is 123653536.