Least Common Multiple of 10028 and 10033

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10028 and 10033 the smallest integer that is 100610924 that is divisible by both numbers.

Least Common Multiple (LCM) of 10028 and 10033 is 100610924.

LCM(10028,10033) = 100610924

LCM of 10028 and 10033

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

LCM of:
and

Least Common Multiple of 10028 and 10033

LCM of 10028 and 10033 is 100610924

Least common multiple can be found by multiplying the highest exponent prime factors of 10028 and 10033. First we will calculate the prime factors of 10028 and 10033.

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

Prime Factorization of 10033


79 10033
127 127
1

Prime factors of 10033 are 79,127. Prime factorization of 10033 in exponential form is:

10033 = 791×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 10028 and 10033.

LCM(10028,10033) = 22×231×791×1091×1271
LCM(10028,10033) = 100610924

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

Factors of 10033

List of positive integer factors of 10033 that divides 10033 without a remainder.

1, 79, 127, 10033

Least Common Multiple of 10028 and 10033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10028 and 10033, than apply into the LCM equation.

GCF(10028,10033) = 1
LCM(10028,10033) = ( 10028 × 10033) / 1
LCM(10028,10033) = 100610924 / 1
LCM(10028,10033) = 100610924

Properties of LCM 10028 and 10033

(i) The LCM of 10033 and 10028 is associative

LCM of 10028 and 10033 = LCM of 10033 and 10028

Related Least Common Multiples of 10028

Related Least Common Multiples of 10033

Frequently Asked Questions on LCM of 10028 and 10033

1. What is the LCM of 10028 and 10033?

Answer: LCM of 10028 and 10033 is 100610924.

2. 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.

3. What are the Factors of 10033?

Answer: Factors of 10033 are 1, 79, 127, 10033. There are 4 integers that are factors of 10033. The greatest factor of 10033 is 10033.

4. How to Find the LCM of 10028 and 10033?

Answer:

Least Common Multiple of 10028 and 10033 = 100610924

Step 1: Find the prime factorization of 10028

10028 = 2 x 2 x 23 x 109

Step 2: Find the prime factorization of 10033

10033 = 79 x 127

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

LCM = 100610924 = 2 x 2 x 23 x 79 x 109 x 127

Step 4: Therefore, the least common multiple of 10028 and 10033 is 100610924.