Least Common Multiple of 7217 and 7222
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7217 and 7222 the smallest integer that is 52121174 that is divisible by both numbers.
Least Common Multiple (LCM) of 7217 and 7222 is 52121174.
LCM(7217,7222) = 52121174
LCM of 7217 and 7222
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7217 and 7222 by Prime method
- Least Common Multiple of 7217 and 7222 with GCF Formula
LCM of 7217 and 7222 is 52121174
Least common multiple can be found by multiplying the highest exponent prime factors of 7217 and 7222. First we will calculate the prime factors of 7217 and 7222.
Prime Factorization of 7217
| 7 | 7217 |
| 1031 | 1031 |
| 1 |
Prime factors of 7217 are 7,1031. Prime factorization of 7217 in exponential form is:
7217 = 71×10311
Prime Factorization of 7222
| 2 | 7222 |
| 23 | 3611 |
| 157 | 157 |
| 1 |
Prime factors of 7222 are 2, 23,157. Prime factorization of 7222 in exponential form is:
7222 = 21×231×1571
Now multiplying the highest exponent prime factors to calculate the LCM of 7217 and 7222.
LCM(7217,7222) = 21×71×231×1571×10311
LCM(7217,7222) = 52121174
Factors of 7217
List of positive integer factors of 7217 that divides 7217 without a remainder.
1, 7, 1031, 7217
Factors of 7222
List of positive integer factors of 7222 that divides 7222 without a remainder.
1, 2, 23, 46, 157, 314, 3611, 7222
Least Common Multiple of 7217 and 7222 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7217 and 7222, than apply into the LCM equation.
GCF(7217,7222) = 1
LCM(7217,7222) = ( 7217 × 7222) / 1
LCM(7217,7222) = 52121174 / 1
LCM(7217,7222) = 52121174
Properties of LCM 7217 and 7222
(i) The LCM of 7222 and 7217 is associative
LCM of 7217 and 7222 = LCM of 7222 and 7217
Related Least Common Multiples of 7217
Related Least Common Multiples of 7222
Frequently Asked Questions on LCM of 7217 and 7222
1. What is the LCM of 7217 and 7222?
Answer: LCM of 7217 and 7222 is 52121174.
2. What are the Factors of 7217?
Answer: Factors of 7217 are 1, 7, 1031, 7217. There are 4 integers that are factors of 7217. The greatest factor of 7217 is 7217.
3. What are the Factors of 7222?
Answer: Factors of 7222 are 1, 2, 23, 46, 157, 314, 3611, 7222. There are 8 integers that are factors of 7222. The greatest factor of 7222 is 7222.
4. How to Find the LCM of 7217 and 7222?
Answer:
Least Common Multiple of 7217 and 7222 = 52121174
Step 1: Find the prime factorization of 7217
7217 = 7 x 1031
Step 2: Find the prime factorization of 7222
7222 = 2 x 23 x 157
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 52121174 = 2 x 7 x 23 x 157 x 1031
Step 4: Therefore, the least common multiple of 7217 and 7222 is 52121174.