Least Common Multiple of 15212 and 15217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15212 and 15217 the smallest integer that is 231481004 that is divisible by both numbers.

Least Common Multiple (LCM) of 15212 and 15217 is 231481004.

LCM(15212,15217) = 231481004

LCM of 15212 and 15217

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

LCM of:
and

Least Common Multiple of 15212 and 15217

LCM of 15212 and 15217 is 231481004

Least common multiple can be found by multiplying the highest exponent prime factors of 15212 and 15217. First we will calculate the prime factors of 15212 and 15217.

Prime Factorization of 15212


2 15212
2 7606
3803 3803
1

Prime factors of 15212 are 2,3803. Prime factorization of 15212 in exponential form is:

15212 = 22×38031

Prime Factorization of 15217


15217 15217
1

Prime factors of 15217 are 15217. Prime factorization of 15217 in exponential form is:

15217 = 152171

Now multiplying the highest exponent prime factors to calculate the LCM of 15212 and 15217.

LCM(15212,15217) = 22×38031×152171
LCM(15212,15217) = 231481004

Factors of 15212

List of positive integer factors of 15212 that divides 15212 without a remainder.

1, 2, 4, 3803, 7606, 15212

Factors of 15217

List of positive integer factors of 15217 that divides 15217 without a remainder.

1, 15217

Least Common Multiple of 15212 and 15217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15212 and 15217, than apply into the LCM equation.

GCF(15212,15217) = 1
LCM(15212,15217) = ( 15212 × 15217) / 1
LCM(15212,15217) = 231481004 / 1
LCM(15212,15217) = 231481004

Properties of LCM 15212 and 15217

(i) The LCM of 15217 and 15212 is associative

LCM of 15212 and 15217 = LCM of 15217 and 15212

Related Least Common Multiples of 15212

Related Least Common Multiples of 15217

Frequently Asked Questions on LCM of 15212 and 15217

1. What is the LCM of 15212 and 15217?

Answer: LCM of 15212 and 15217 is 231481004.

2. What are the Factors of 15212?

Answer: Factors of 15212 are 1, 2, 4, 3803, 7606, 15212. There are 6 integers that are factors of 15212. The greatest factor of 15212 is 15212.

3. What are the Factors of 15217?

Answer: Factors of 15217 are 1, 15217. There are 2 integers that are factors of 15217. The greatest factor of 15217 is 15217.

4. How to Find the LCM of 15212 and 15217?

Answer:

Least Common Multiple of 15212 and 15217 = 231481004

Step 1: Find the prime factorization of 15212

15212 = 2 x 2 x 3803

Step 2: Find the prime factorization of 15217

15217 = 15217

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

LCM = 231481004 = 2 x 2 x 3803 x 15217

Step 4: Therefore, the least common multiple of 15212 and 15217 is 231481004.