Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7220 and 7228 the smallest integer that is 13046540 that is divisible by both numbers.
Least Common Multiple (LCM) of 7220 and 7228 is 13046540.
LCM(7220,7228) = 13046540
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 7220 and 7228. First we will calculate the prime factors of 7220 and 7228.
Prime Factorization of 7220
2 | 7220 |
2 | 3610 |
5 | 1805 |
19 | 361 |
19 | 19 |
1 |
Prime factors of 7220 are 2, 5,19. Prime factorization of 7220 in exponential form is:
7220 = 22×51×192
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 7220 and 7228.
LCM(7220,7228) = 22×51×131×192×1391
LCM(7220,7228) = 13046540
Factors of 7220
List of positive integer factors of 7220 that divides 7220 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 361, 380, 722, 1444, 1805, 3610, 7220
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 7220 and 7228, than apply into the LCM equation.
GCF(7220,7228) = 4
LCM(7220,7228) = ( 7220 × 7228) / 4
LCM(7220,7228) = 52186160 / 4
LCM(7220,7228) = 13046540
(i) The LCM of 7228 and 7220 is associative
LCM of 7220 and 7228 = LCM of 7228 and 7220
1. What is the LCM of 7220 and 7228?
Answer: LCM of 7220 and 7228 is 13046540.
2. What are the Factors of 7220?
Answer: Factors of 7220 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 361, 380, 722, 1444, 1805, 3610, 7220. There are 18 integers that are factors of 7220. The greatest factor of 7220 is 7220.
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 7220 and 7228?
Answer:
Least Common Multiple of 7220 and 7228 = 13046540
Step 1: Find the prime factorization of 7220
7220 = 2 x 2 x 5 x 19 x 19
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 = 13046540 = 2 x 2 x 5 x 13 x 19 x 19 x 139
Step 4: Therefore, the least common multiple of 7220 and 7228 is 13046540.