Least Common Multiple of 15230 and 15236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15230 and 15236 the smallest integer that is 116022140 that is divisible by both numbers.

Least Common Multiple (LCM) of 15230 and 15236 is 116022140.

LCM(15230,15236) = 116022140

LCM of 15230 and 15236

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

LCM of:
and

Least Common Multiple of 15230 and 15236

LCM of 15230 and 15236 is 116022140

Least common multiple can be found by multiplying the highest exponent prime factors of 15230 and 15236. First we will calculate the prime factors of 15230 and 15236.

Prime Factorization of 15230


2 15230
5 7615
1523 1523
1

Prime factors of 15230 are 2, 5,1523. Prime factorization of 15230 in exponential form is:

15230 = 21×51×15231

Prime Factorization of 15236


2 15236
2 7618
13 3809
293 293
1

Prime factors of 15236 are 2, 13,293. Prime factorization of 15236 in exponential form is:

15236 = 22×131×2931

Now multiplying the highest exponent prime factors to calculate the LCM of 15230 and 15236.

LCM(15230,15236) = 22×51×131×2931×15231
LCM(15230,15236) = 116022140

Factors of 15230

List of positive integer factors of 15230 that divides 15230 without a remainder.

1, 2, 5, 10, 1523, 3046, 7615, 15230

Factors of 15236

List of positive integer factors of 15236 that divides 15236 without a remainder.

1, 2, 4, 13, 26, 52, 293, 586, 1172, 3809, 7618, 15236

Least Common Multiple of 15230 and 15236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15230 and 15236, than apply into the LCM equation.

GCF(15230,15236) = 2
LCM(15230,15236) = ( 15230 × 15236) / 2
LCM(15230,15236) = 232044280 / 2
LCM(15230,15236) = 116022140

Properties of LCM 15230 and 15236

(i) The LCM of 15236 and 15230 is associative

LCM of 15230 and 15236 = LCM of 15236 and 15230

Related Least Common Multiples of 15230

Related Least Common Multiples of 15236

Frequently Asked Questions on LCM of 15230 and 15236

1. What is the LCM of 15230 and 15236?

Answer: LCM of 15230 and 15236 is 116022140.

2. What are the Factors of 15230?

Answer: Factors of 15230 are 1, 2, 5, 10, 1523, 3046, 7615, 15230. There are 8 integers that are factors of 15230. The greatest factor of 15230 is 15230.

3. What are the Factors of 15236?

Answer: Factors of 15236 are 1, 2, 4, 13, 26, 52, 293, 586, 1172, 3809, 7618, 15236. There are 12 integers that are factors of 15236. The greatest factor of 15236 is 15236.

4. How to Find the LCM of 15230 and 15236?

Answer:

Least Common Multiple of 15230 and 15236 = 116022140

Step 1: Find the prime factorization of 15230

15230 = 2 x 5 x 1523

Step 2: Find the prime factorization of 15236

15236 = 2 x 2 x 13 x 293

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

LCM = 116022140 = 2 x 2 x 5 x 13 x 293 x 1523

Step 4: Therefore, the least common multiple of 15230 and 15236 is 116022140.