Least Common Multiple of 15214 and 15221
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15214 and 15221 the smallest integer that is 231572294 that is divisible by both numbers.
Least Common Multiple (LCM) of 15214 and 15221 is 231572294.
LCM(15214,15221) = 231572294
LCM of 15214 and 15221
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15214 and 15221 by Prime method
- Least Common Multiple of 15214 and 15221 with GCF Formula
LCM of 15214 and 15221 is 231572294
Least common multiple can be found by multiplying the highest exponent prime factors of 15214 and 15221. First we will calculate the prime factors of 15214 and 15221.
Prime Factorization of 15214
| 2 | 15214 |
| 7607 | 7607 |
| 1 |
Prime factors of 15214 are 2,7607. Prime factorization of 15214 in exponential form is:
15214 = 21×76071
Prime Factorization of 15221
| 31 | 15221 |
| 491 | 491 |
| 1 |
Prime factors of 15221 are 31,491. Prime factorization of 15221 in exponential form is:
15221 = 311×4911
Now multiplying the highest exponent prime factors to calculate the LCM of 15214 and 15221.
LCM(15214,15221) = 21×311×4911×76071
LCM(15214,15221) = 231572294
Factors of 15214
List of positive integer factors of 15214 that divides 15214 without a remainder.
1, 2, 7607, 15214
Factors of 15221
List of positive integer factors of 15221 that divides 15221 without a remainder.
1, 31, 491, 15221
Least Common Multiple of 15214 and 15221 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15214 and 15221, than apply into the LCM equation.
GCF(15214,15221) = 1
LCM(15214,15221) = ( 15214 × 15221) / 1
LCM(15214,15221) = 231572294 / 1
LCM(15214,15221) = 231572294
Properties of LCM 15214 and 15221
(i) The LCM of 15221 and 15214 is associative
LCM of 15214 and 15221 = LCM of 15221 and 15214
Related Least Common Multiples of 15214
Related Least Common Multiples of 15221
Frequently Asked Questions on LCM of 15214 and 15221
1. What is the LCM of 15214 and 15221?
Answer: LCM of 15214 and 15221 is 231572294.
2. What are the Factors of 15214?
Answer: Factors of 15214 are 1, 2, 7607, 15214. There are 4 integers that are factors of 15214. The greatest factor of 15214 is 15214.
3. What are the Factors of 15221?
Answer: Factors of 15221 are 1, 31, 491, 15221. There are 4 integers that are factors of 15221. The greatest factor of 15221 is 15221.
4. How to Find the LCM of 15214 and 15221?
Answer:
Least Common Multiple of 15214 and 15221 = 231572294
Step 1: Find the prime factorization of 15214
15214 = 2 x 7607
Step 2: Find the prime factorization of 15221
15221 = 31 x 491
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 231572294 = 2 x 31 x 491 x 7607
Step 4: Therefore, the least common multiple of 15214 and 15221 is 231572294.