Least Common Multiple of 7222 and 7229
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7222 and 7229 the smallest integer that is 52207838 that is divisible by both numbers.
Least Common Multiple (LCM) of 7222 and 7229 is 52207838.
LCM(7222,7229) = 52207838
LCM of 7222 and 7229
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7222 and 7229 by Prime method
- Least Common Multiple of 7222 and 7229 with GCF Formula
LCM of 7222 and 7229 is 52207838
Least common multiple can be found by multiplying the highest exponent prime factors of 7222 and 7229. First we will calculate the prime factors of 7222 and 7229.
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
Prime Factorization of 7229
| 7229 | 7229 |
| 1 |
Prime factors of 7229 are 7229. Prime factorization of 7229 in exponential form is:
7229 = 72291
Now multiplying the highest exponent prime factors to calculate the LCM of 7222 and 7229.
LCM(7222,7229) = 21×231×1571×72291
LCM(7222,7229) = 52207838
Factors of 7222
List of positive integer factors of 7222 that divides 7222 without a remainder.
1, 2, 23, 46, 157, 314, 3611, 7222
Factors of 7229
List of positive integer factors of 7229 that divides 7229 without a remainder.
1, 7229
Least Common Multiple of 7222 and 7229 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7222 and 7229, than apply into the LCM equation.
GCF(7222,7229) = 1
LCM(7222,7229) = ( 7222 × 7229) / 1
LCM(7222,7229) = 52207838 / 1
LCM(7222,7229) = 52207838
Properties of LCM 7222 and 7229
(i) The LCM of 7229 and 7222 is associative
LCM of 7222 and 7229 = LCM of 7229 and 7222
Related Least Common Multiples of 7222
Related Least Common Multiples of 7229
Frequently Asked Questions on LCM of 7222 and 7229
1. What is the LCM of 7222 and 7229?
Answer: LCM of 7222 and 7229 is 52207838.
2. 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.
3. What are the Factors of 7229?
Answer: Factors of 7229 are 1, 7229. There are 2 integers that are factors of 7229. The greatest factor of 7229 is 7229.
4. How to Find the LCM of 7222 and 7229?
Answer:
Least Common Multiple of 7222 and 7229 = 52207838
Step 1: Find the prime factorization of 7222
7222 = 2 x 23 x 157
Step 2: Find the prime factorization of 7229
7229 = 7229
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 52207838 = 2 x 23 x 157 x 7229
Step 4: Therefore, the least common multiple of 7222 and 7229 is 52207838.