Least Common Multiple of 31028 and 31032

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 31028 and 31032 the smallest integer that is 240715224 that is divisible by both numbers.

Least Common Multiple (LCM) of 31028 and 31032 is 240715224.

LCM(31028,31032) = 240715224

LCM of 31028 and 31032

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

LCM of:
and

Least Common Multiple of 31028 and 31032

LCM of 31028 and 31032 is 240715224

Least common multiple can be found by multiplying the highest exponent prime factors of 31028 and 31032. First we will calculate the prime factors of 31028 and 31032.

Prime Factorization of 31028


2 31028
2 15514
7757 7757
1

Prime factors of 31028 are 2,7757. Prime factorization of 31028 in exponential form is:

31028 = 22×77571

Prime Factorization of 31032


2 31032
2 15516
2 7758
3 3879
3 1293
431 431
1

Prime factors of 31032 are 2, 3,431. Prime factorization of 31032 in exponential form is:

31032 = 23×32×4311

Now multiplying the highest exponent prime factors to calculate the LCM of 31028 and 31032.

LCM(31028,31032) = 23×32×4311×77571
LCM(31028,31032) = 240715224

Factors of 31028

List of positive integer factors of 31028 that divides 31028 without a remainder.

1, 2, 4, 7757, 15514, 31028

Factors of 31032

List of positive integer factors of 31032 that divides 31032 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 431, 862, 1293, 1724, 2586, 3448, 3879, 5172, 7758, 10344, 15516, 31032

Least Common Multiple of 31028 and 31032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31028 and 31032, than apply into the LCM equation.

GCF(31028,31032) = 4
LCM(31028,31032) = ( 31028 × 31032) / 4
LCM(31028,31032) = 962860896 / 4
LCM(31028,31032) = 240715224

Properties of LCM 31028 and 31032

(i) The LCM of 31032 and 31028 is associative

LCM of 31028 and 31032 = LCM of 31032 and 31028

Related Least Common Multiples of 31028

Related Least Common Multiples of 31032

Frequently Asked Questions on LCM of 31028 and 31032

1. What is the LCM of 31028 and 31032?

Answer: LCM of 31028 and 31032 is 240715224.

2. What are the Factors of 31028?

Answer: Factors of 31028 are 1, 2, 4, 7757, 15514, 31028. There are 6 integers that are factors of 31028. The greatest factor of 31028 is 31028.

3. What are the Factors of 31032?

Answer: Factors of 31032 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 431, 862, 1293, 1724, 2586, 3448, 3879, 5172, 7758, 10344, 15516, 31032. There are 24 integers that are factors of 31032. The greatest factor of 31032 is 31032.

4. How to Find the LCM of 31028 and 31032?

Answer:

Least Common Multiple of 31028 and 31032 = 240715224

Step 1: Find the prime factorization of 31028

31028 = 2 x 2 x 7757

Step 2: Find the prime factorization of 31032

31032 = 2 x 2 x 2 x 3 x 3 x 431

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

LCM = 240715224 = 2 x 2 x 2 x 3 x 3 x 431 x 7757

Step 4: Therefore, the least common multiple of 31028 and 31032 is 240715224.