Least Common Multiple of 17228 and 17236

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 17236 the smallest integer that is 74235452 that is divisible by both numbers.

Least Common Multiple (LCM) of 17228 and 17236 is 74235452.

LCM(17228,17236) = 74235452

LCM of 17228 and 17236

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

LCM of:
and

Least Common Multiple of 17228 and 17236

LCM of 17228 and 17236 is 74235452

Least common multiple can be found by multiplying the highest exponent prime factors of 17228 and 17236. First we will calculate the prime factors of 17228 and 17236.

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 17236


2 17236
2 8618
31 4309
139 139
1

Prime factors of 17236 are 2, 31,139. Prime factorization of 17236 in exponential form is:

17236 = 22×311×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 17228 and 17236.

LCM(17228,17236) = 22×311×591×731×1391
LCM(17228,17236) = 74235452

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 17236

List of positive integer factors of 17236 that divides 17236 without a remainder.

1, 2, 4, 31, 62, 124, 139, 278, 556, 4309, 8618, 17236

Least Common Multiple of 17228 and 17236 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 17236, than apply into the LCM equation.

GCF(17228,17236) = 4
LCM(17228,17236) = ( 17228 × 17236) / 4
LCM(17228,17236) = 296941808 / 4
LCM(17228,17236) = 74235452

Properties of LCM 17228 and 17236

(i) The LCM of 17236 and 17228 is associative

LCM of 17228 and 17236 = LCM of 17236 and 17228

Related Least Common Multiples of 17228

Related Least Common Multiples of 17236

Frequently Asked Questions on LCM of 17228 and 17236

1. What is the LCM of 17228 and 17236?

Answer: LCM of 17228 and 17236 is 74235452.

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 17236?

Answer: Factors of 17236 are 1, 2, 4, 31, 62, 124, 139, 278, 556, 4309, 8618, 17236. There are 12 integers that are factors of 17236. The greatest factor of 17236 is 17236.

4. How to Find the LCM of 17228 and 17236?

Answer:

Least Common Multiple of 17228 and 17236 = 74235452

Step 1: Find the prime factorization of 17228

17228 = 2 x 2 x 59 x 73

Step 2: Find the prime factorization of 17236

17236 = 2 x 2 x 31 x 139

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

LCM = 74235452 = 2 x 2 x 31 x 59 x 73 x 139

Step 4: Therefore, the least common multiple of 17228 and 17236 is 74235452.