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 7228 the smallest integer that is 26100308 that is divisible by both numbers.
Least Common Multiple (LCM) of 7222 and 7228 is 26100308.
LCM(7222,7228) = 26100308
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 7222 and 7228. First we will calculate the prime factors of 7222 and 7228.
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 7228
2 | 7228 |
2 | 3614 |
13 | 1807 |
139 | 139 |
1 |
Prime factors of 7228 are 2, 13,139. Prime factorization of 7228 in exponential form is:
7228 = 22×131×1391
Now multiplying the highest exponent prime factors to calculate the LCM of 7222 and 7228.
LCM(7222,7228) = 22×131×231×1391×1571
LCM(7222,7228) = 26100308
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 7228
List of positive integer factors of 7228 that divides 7228 without a remainder.
1, 2, 4, 13, 26, 52, 139, 278, 556, 1807, 3614, 7228
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7222 and 7228, than apply into the LCM equation.
GCF(7222,7228) = 2
LCM(7222,7228) = ( 7222 × 7228) / 2
LCM(7222,7228) = 52200616 / 2
LCM(7222,7228) = 26100308
(i) The LCM of 7228 and 7222 is associative
LCM of 7222 and 7228 = LCM of 7228 and 7222
1. What is the LCM of 7222 and 7228?
Answer: LCM of 7222 and 7228 is 26100308.
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 7228?
Answer: Factors of 7228 are 1, 2, 4, 13, 26, 52, 139, 278, 556, 1807, 3614, 7228. There are 12 integers that are factors of 7228. The greatest factor of 7228 is 7228.
4. How to Find the LCM of 7222 and 7228?
Answer:
Least Common Multiple of 7222 and 7228 = 26100308
Step 1: Find the prime factorization of 7222
7222 = 2 x 23 x 157
Step 2: Find the prime factorization of 7228
7228 = 2 x 2 x 13 x 139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 26100308 = 2 x 2 x 13 x 23 x 139 x 157
Step 4: Therefore, the least common multiple of 7222 and 7228 is 26100308.