Least Common Multiple of 17228 and 17234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 17228 and 17234 the smallest integer that is 148453676 that is divisible by both numbers.

Least Common Multiple (LCM) of 17228 and 17234 is 148453676.

LCM(17228,17234) = 148453676

LCM of 17228 and 17234

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

LCM of:
and

Least Common Multiple of 17228 and 17234

LCM of 17228 and 17234 is 148453676

Least common multiple can be found by multiplying the highest exponent prime factors of 17228 and 17234. First we will calculate the prime factors of 17228 and 17234.

Prime Factorization of 17228


2 17228
2 8614
59 4307
73 73
1

Prime factors of 17228 are 2, 59,73. Prime factorization of 17228 in exponential form is:

17228 = 22×591×731

Prime Factorization of 17234


2 17234
7 8617
1231 1231
1

Prime factors of 17234 are 2, 7,1231. Prime factorization of 17234 in exponential form is:

17234 = 21×71×12311

Now multiplying the highest exponent prime factors to calculate the LCM of 17228 and 17234.

LCM(17228,17234) = 22×71×591×731×12311
LCM(17228,17234) = 148453676

Factors of 17228

List of positive integer factors of 17228 that divides 17228 without a remainder.

1, 2, 4, 59, 73, 118, 146, 236, 292, 4307, 8614, 17228

Factors of 17234

List of positive integer factors of 17234 that divides 17234 without a remainder.

1, 2, 7, 14, 1231, 2462, 8617, 17234

Least Common Multiple of 17228 and 17234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17228 and 17234, than apply into the LCM equation.

GCF(17228,17234) = 2
LCM(17228,17234) = ( 17228 × 17234) / 2
LCM(17228,17234) = 296907352 / 2
LCM(17228,17234) = 148453676

Properties of LCM 17228 and 17234

(i) The LCM of 17234 and 17228 is associative

LCM of 17228 and 17234 = LCM of 17234 and 17228

Related Least Common Multiples of 17228

Related Least Common Multiples of 17234

Frequently Asked Questions on LCM of 17228 and 17234

1. What is the LCM of 17228 and 17234?

Answer: LCM of 17228 and 17234 is 148453676.

2. What are the Factors of 17228?

Answer: Factors of 17228 are 1, 2, 4, 59, 73, 118, 146, 236, 292, 4307, 8614, 17228. There are 12 integers that are factors of 17228. The greatest factor of 17228 is 17228.

3. What are the Factors of 17234?

Answer: Factors of 17234 are 1, 2, 7, 14, 1231, 2462, 8617, 17234. There are 8 integers that are factors of 17234. The greatest factor of 17234 is 17234.

4. How to Find the LCM of 17228 and 17234?

Answer:

Least Common Multiple of 17228 and 17234 = 148453676

Step 1: Find the prime factorization of 17228

17228 = 2 x 2 x 59 x 73

Step 2: Find the prime factorization of 17234

17234 = 2 x 7 x 1231

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

LCM = 148453676 = 2 x 2 x 7 x 59 x 73 x 1231

Step 4: Therefore, the least common multiple of 17228 and 17234 is 148453676.