Least Common Multiple of 10228 and 10235

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10228 and 10235 the smallest integer that is 104683580 that is divisible by both numbers.

Least Common Multiple (LCM) of 10228 and 10235 is 104683580.

LCM(10228,10235) = 104683580

LCM of 10228 and 10235

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

LCM of:
and

Least Common Multiple of 10228 and 10235

LCM of 10228 and 10235 is 104683580

Least common multiple can be found by multiplying the highest exponent prime factors of 10228 and 10235. First we will calculate the prime factors of 10228 and 10235.

Prime Factorization of 10228


2 10228
2 5114
2557 2557
1

Prime factors of 10228 are 2,2557. Prime factorization of 10228 in exponential form is:

10228 = 22×25571

Prime Factorization of 10235


5 10235
23 2047
89 89
1

Prime factors of 10235 are 5, 23,89. Prime factorization of 10235 in exponential form is:

10235 = 51×231×891

Now multiplying the highest exponent prime factors to calculate the LCM of 10228 and 10235.

LCM(10228,10235) = 22×51×231×891×25571
LCM(10228,10235) = 104683580

Factors of 10228

List of positive integer factors of 10228 that divides 10228 without a remainder.

1, 2, 4, 2557, 5114, 10228

Factors of 10235

List of positive integer factors of 10235 that divides 10235 without a remainder.

1, 5, 23, 89, 115, 445, 2047, 10235

Least Common Multiple of 10228 and 10235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10228 and 10235, than apply into the LCM equation.

GCF(10228,10235) = 1
LCM(10228,10235) = ( 10228 × 10235) / 1
LCM(10228,10235) = 104683580 / 1
LCM(10228,10235) = 104683580

Properties of LCM 10228 and 10235

(i) The LCM of 10235 and 10228 is associative

LCM of 10228 and 10235 = LCM of 10235 and 10228

Related Least Common Multiples of 10228

Related Least Common Multiples of 10235

Frequently Asked Questions on LCM of 10228 and 10235

1. What is the LCM of 10228 and 10235?

Answer: LCM of 10228 and 10235 is 104683580.

2. What are the Factors of 10228?

Answer: Factors of 10228 are 1, 2, 4, 2557, 5114, 10228. There are 6 integers that are factors of 10228. The greatest factor of 10228 is 10228.

3. What are the Factors of 10235?

Answer: Factors of 10235 are 1, 5, 23, 89, 115, 445, 2047, 10235. There are 8 integers that are factors of 10235. The greatest factor of 10235 is 10235.

4. How to Find the LCM of 10228 and 10235?

Answer:

Least Common Multiple of 10228 and 10235 = 104683580

Step 1: Find the prime factorization of 10228

10228 = 2 x 2 x 2557

Step 2: Find the prime factorization of 10235

10235 = 5 x 23 x 89

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

LCM = 104683580 = 2 x 2 x 5 x 23 x 89 x 2557

Step 4: Therefore, the least common multiple of 10228 and 10235 is 104683580.