Least Common Multiple of 31028 and 31034

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 31034 the smallest integer that is 481461476 that is divisible by both numbers.

Least Common Multiple (LCM) of 31028 and 31034 is 481461476.

LCM(31028,31034) = 481461476

LCM of 31028 and 31034

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

LCM of:
and

Least Common Multiple of 31028 and 31034

LCM of 31028 and 31034 is 481461476

Least common multiple can be found by multiplying the highest exponent prime factors of 31028 and 31034. First we will calculate the prime factors of 31028 and 31034.

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 31034


2 31034
59 15517
263 263
1

Prime factors of 31034 are 2, 59,263. Prime factorization of 31034 in exponential form is:

31034 = 21×591×2631

Now multiplying the highest exponent prime factors to calculate the LCM of 31028 and 31034.

LCM(31028,31034) = 22×591×2631×77571
LCM(31028,31034) = 481461476

Factors of 31028

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

1, 2, 4, 7757, 15514, 31028

Factors of 31034

List of positive integer factors of 31034 that divides 31034 without a remainder.

1, 2, 59, 118, 263, 526, 15517, 31034

Least Common Multiple of 31028 and 31034 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 31034, than apply into the LCM equation.

GCF(31028,31034) = 2
LCM(31028,31034) = ( 31028 × 31034) / 2
LCM(31028,31034) = 962922952 / 2
LCM(31028,31034) = 481461476

Properties of LCM 31028 and 31034

(i) The LCM of 31034 and 31028 is associative

LCM of 31028 and 31034 = LCM of 31034 and 31028

Related Least Common Multiples of 31028

Related Least Common Multiples of 31034

Frequently Asked Questions on LCM of 31028 and 31034

1. What is the LCM of 31028 and 31034?

Answer: LCM of 31028 and 31034 is 481461476.

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 31034?

Answer: Factors of 31034 are 1, 2, 59, 118, 263, 526, 15517, 31034. There are 8 integers that are factors of 31034. The greatest factor of 31034 is 31034.

4. How to Find the LCM of 31028 and 31034?

Answer:

Least Common Multiple of 31028 and 31034 = 481461476

Step 1: Find the prime factorization of 31028

31028 = 2 x 2 x 7757

Step 2: Find the prime factorization of 31034

31034 = 2 x 59 x 263

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

LCM = 481461476 = 2 x 2 x 59 x 263 x 7757

Step 4: Therefore, the least common multiple of 31028 and 31034 is 481461476.