Least Common Multiple of 10022 and 10028

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10022 and 10028 the smallest integer that is 50250308 that is divisible by both numbers.

Least Common Multiple (LCM) of 10022 and 10028 is 50250308.

LCM(10022,10028) = 50250308

LCM of 10022 and 10028

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

LCM of:
and

Least Common Multiple of 10022 and 10028

LCM of 10022 and 10028 is 50250308

Least common multiple can be found by multiplying the highest exponent prime factors of 10022 and 10028. First we will calculate the prime factors of 10022 and 10028.

Prime Factorization of 10022


2 10022
5011 5011
1

Prime factors of 10022 are 2,5011. Prime factorization of 10022 in exponential form is:

10022 = 21×50111

Prime Factorization of 10028


2 10028
2 5014
23 2507
109 109
1

Prime factors of 10028 are 2, 23,109. Prime factorization of 10028 in exponential form is:

10028 = 22×231×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 10022 and 10028.

LCM(10022,10028) = 22×231×1091×50111
LCM(10022,10028) = 50250308

Factors of 10022

List of positive integer factors of 10022 that divides 10022 without a remainder.

1, 2, 5011, 10022

Factors of 10028

List of positive integer factors of 10028 that divides 10028 without a remainder.

1, 2, 4, 23, 46, 92, 109, 218, 436, 2507, 5014, 10028

Least Common Multiple of 10022 and 10028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10022 and 10028, than apply into the LCM equation.

GCF(10022,10028) = 2
LCM(10022,10028) = ( 10022 × 10028) / 2
LCM(10022,10028) = 100500616 / 2
LCM(10022,10028) = 50250308

Properties of LCM 10022 and 10028

(i) The LCM of 10028 and 10022 is associative

LCM of 10022 and 10028 = LCM of 10028 and 10022

Related Least Common Multiples of 10022

Related Least Common Multiples of 10028

Frequently Asked Questions on LCM of 10022 and 10028

1. What is the LCM of 10022 and 10028?

Answer: LCM of 10022 and 10028 is 50250308.

2. What are the Factors of 10022?

Answer: Factors of 10022 are 1, 2, 5011, 10022. There are 4 integers that are factors of 10022. The greatest factor of 10022 is 10022.

3. What are the Factors of 10028?

Answer: Factors of 10028 are 1, 2, 4, 23, 46, 92, 109, 218, 436, 2507, 5014, 10028. There are 12 integers that are factors of 10028. The greatest factor of 10028 is 10028.

4. How to Find the LCM of 10022 and 10028?

Answer:

Least Common Multiple of 10022 and 10028 = 50250308

Step 1: Find the prime factorization of 10022

10022 = 2 x 5011

Step 2: Find the prime factorization of 10028

10028 = 2 x 2 x 23 x 109

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

LCM = 50250308 = 2 x 2 x 23 x 109 x 5011

Step 4: Therefore, the least common multiple of 10022 and 10028 is 50250308.