Least Common Multiple of 31028 and 31035

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 31035 the smallest integer that is 962953980 that is divisible by both numbers.

Least Common Multiple (LCM) of 31028 and 31035 is 962953980.

LCM(31028,31035) = 962953980

LCM of 31028 and 31035

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

LCM of:
and

Least Common Multiple of 31028 and 31035

LCM of 31028 and 31035 is 962953980

Least common multiple can be found by multiplying the highest exponent prime factors of 31028 and 31035. First we will calculate the prime factors of 31028 and 31035.

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 31035


3 31035
5 10345
2069 2069
1

Prime factors of 31035 are 3, 5,2069. Prime factorization of 31035 in exponential form is:

31035 = 31×51×20691

Now multiplying the highest exponent prime factors to calculate the LCM of 31028 and 31035.

LCM(31028,31035) = 22×31×51×20691×77571
LCM(31028,31035) = 962953980

Factors of 31028

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

1, 2, 4, 7757, 15514, 31028

Factors of 31035

List of positive integer factors of 31035 that divides 31035 without a remainder.

1, 3, 5, 15, 2069, 6207, 10345, 31035

Least Common Multiple of 31028 and 31035 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 31035, than apply into the LCM equation.

GCF(31028,31035) = 1
LCM(31028,31035) = ( 31028 × 31035) / 1
LCM(31028,31035) = 962953980 / 1
LCM(31028,31035) = 962953980

Properties of LCM 31028 and 31035

(i) The LCM of 31035 and 31028 is associative

LCM of 31028 and 31035 = LCM of 31035 and 31028

Related Least Common Multiples of 31028

Related Least Common Multiples of 31035

Frequently Asked Questions on LCM of 31028 and 31035

1. What is the LCM of 31028 and 31035?

Answer: LCM of 31028 and 31035 is 962953980.

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 31035?

Answer: Factors of 31035 are 1, 3, 5, 15, 2069, 6207, 10345, 31035. There are 8 integers that are factors of 31035. The greatest factor of 31035 is 31035.

4. How to Find the LCM of 31028 and 31035?

Answer:

Least Common Multiple of 31028 and 31035 = 962953980

Step 1: Find the prime factorization of 31028

31028 = 2 x 2 x 7757

Step 2: Find the prime factorization of 31035

31035 = 3 x 5 x 2069

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

LCM = 962953980 = 2 x 2 x 3 x 5 x 2069 x 7757

Step 4: Therefore, the least common multiple of 31028 and 31035 is 962953980.