Least Common Multiple of 31449 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 31449 and 31456 the smallest integer that is 989259744 that is divisible by both numbers.

Least Common Multiple (LCM) of 31449 and 31456 is 989259744.

LCM(31449,31456) = 989259744

LCM of 31449 and 31456

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

LCM of:
and

Least Common Multiple of 31449 and 31456

LCM of 31449 and 31456 is 989259744

Least common multiple can be found by multiplying the highest exponent prime factors of 31449 and 31456. First we will calculate the prime factors of 31449 and 31456.

Prime Factorization of 31449


3 31449
11 10483
953 953
1

Prime factors of 31449 are 3, 11,953. Prime factorization of 31449 in exponential form is:

31449 = 31×111×9531

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 31449 and 31456.

LCM(31449,31456) = 25×31×111×9531×9831
LCM(31449,31456) = 989259744

Factors of 31449

List of positive integer factors of 31449 that divides 31449 without a remainder.

1, 3, 11, 33, 953, 2859, 10483, 31449

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 31449 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 31449 and 31456, than apply into the LCM equation.

GCF(31449,31456) = 1
LCM(31449,31456) = ( 31449 × 31456) / 1
LCM(31449,31456) = 989259744 / 1
LCM(31449,31456) = 989259744

Properties of LCM 31449 and 31456

(i) The LCM of 31456 and 31449 is associative

LCM of 31449 and 31456 = LCM of 31456 and 31449

Related Least Common Multiples of 31449

Related Least Common Multiples of 31456

Frequently Asked Questions on LCM of 31449 and 31456

1. What is the LCM of 31449 and 31456?

Answer: LCM of 31449 and 31456 is 989259744.

2. What are the Factors of 31449?

Answer: Factors of 31449 are 1, 3, 11, 33, 953, 2859, 10483, 31449. There are 8 integers that are factors of 31449. The greatest factor of 31449 is 31449.

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 31449 and 31456?

Answer:

Least Common Multiple of 31449 and 31456 = 989259744

Step 1: Find the prime factorization of 31449

31449 = 3 x 11 x 953

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 = 989259744 = 2 x 2 x 2 x 2 x 2 x 3 x 11 x 953 x 983

Step 4: Therefore, the least common multiple of 31449 and 31456 is 989259744.