Least Common Multiple of 31021 and 31028

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 31021 and 31028 the smallest integer that is 962519588 that is divisible by both numbers.

Least Common Multiple (LCM) of 31021 and 31028 is 962519588.

LCM(31021,31028) = 962519588

LCM of 31021 and 31028

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

LCM of:
and

Least Common Multiple of 31021 and 31028

LCM of 31021 and 31028 is 962519588

Least common multiple can be found by multiplying the highest exponent prime factors of 31021 and 31028. First we will calculate the prime factors of 31021 and 31028.

Prime Factorization of 31021


67 31021
463 463
1

Prime factors of 31021 are 67,463. Prime factorization of 31021 in exponential form is:

31021 = 671×4631

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

Now multiplying the highest exponent prime factors to calculate the LCM of 31021 and 31028.

LCM(31021,31028) = 22×671×4631×77571
LCM(31021,31028) = 962519588

Factors of 31021

List of positive integer factors of 31021 that divides 31021 without a remainder.

1, 67, 463, 31021

Factors of 31028

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

1, 2, 4, 7757, 15514, 31028

Least Common Multiple of 31021 and 31028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31021 and 31028, than apply into the LCM equation.

GCF(31021,31028) = 1
LCM(31021,31028) = ( 31021 × 31028) / 1
LCM(31021,31028) = 962519588 / 1
LCM(31021,31028) = 962519588

Properties of LCM 31021 and 31028

(i) The LCM of 31028 and 31021 is associative

LCM of 31021 and 31028 = LCM of 31028 and 31021

Related Least Common Multiples of 31021

Related Least Common Multiples of 31028

Frequently Asked Questions on LCM of 31021 and 31028

1. What is the LCM of 31021 and 31028?

Answer: LCM of 31021 and 31028 is 962519588.

2. What are the Factors of 31021?

Answer: Factors of 31021 are 1, 67, 463, 31021. There are 4 integers that are factors of 31021. The greatest factor of 31021 is 31021.

3. 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.

4. How to Find the LCM of 31021 and 31028?

Answer:

Least Common Multiple of 31021 and 31028 = 962519588

Step 1: Find the prime factorization of 31021

31021 = 67 x 463

Step 2: Find the prime factorization of 31028

31028 = 2 x 2 x 7757

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

LCM = 962519588 = 2 x 2 x 67 x 463 x 7757

Step 4: Therefore, the least common multiple of 31021 and 31028 is 962519588.