Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2213 and 2220 the smallest integer that is 4912860 that is divisible by both numbers.
Least Common Multiple (LCM) of 2213 and 2220 is 4912860.
LCM(2213,2220) = 4912860
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 2213 and 2220. First we will calculate the prime factors of 2213 and 2220.
Prime Factorization of 2213
2213 | 2213 |
1 |
Prime factors of 2213 are 2213. Prime factorization of 2213 in exponential form is:
2213 = 22131
Prime Factorization of 2220
2 | 2220 |
2 | 1110 |
3 | 555 |
5 | 185 |
37 | 37 |
1 |
Prime factors of 2220 are 2, 3, 5,37. Prime factorization of 2220 in exponential form is:
2220 = 22×31×51×371
Now multiplying the highest exponent prime factors to calculate the LCM of 2213 and 2220.
LCM(2213,2220) = 22×31×51×371×22131
LCM(2213,2220) = 4912860
Factors of 2213
List of positive integer factors of 2213 that divides 2213 without a remainder.
1, 2213
Factors of 2220
List of positive integer factors of 2220 that divides 2220 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 37, 60, 74, 111, 148, 185, 222, 370, 444, 555, 740, 1110, 2220
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2213 and 2220, than apply into the LCM equation.
GCF(2213,2220) = 1
LCM(2213,2220) = ( 2213 × 2220) / 1
LCM(2213,2220) = 4912860 / 1
LCM(2213,2220) = 4912860
(i) The LCM of 2220 and 2213 is associative
LCM of 2213 and 2220 = LCM of 2220 and 2213
1. What is the LCM of 2213 and 2220?
Answer: LCM of 2213 and 2220 is 4912860.
2. What are the Factors of 2213?
Answer: Factors of 2213 are 1, 2213. There are 2 integers that are factors of 2213. The greatest factor of 2213 is 2213.
3. What are the Factors of 2220?
Answer: Factors of 2220 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 37, 60, 74, 111, 148, 185, 222, 370, 444, 555, 740, 1110, 2220. There are 24 integers that are factors of 2220. The greatest factor of 2220 is 2220.
4. How to Find the LCM of 2213 and 2220?
Answer:
Least Common Multiple of 2213 and 2220 = 4912860
Step 1: Find the prime factorization of 2213
2213 = 2213
Step 2: Find the prime factorization of 2220
2220 = 2 x 2 x 3 x 5 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4912860 = 2 x 2 x 3 x 5 x 37 x 2213
Step 4: Therefore, the least common multiple of 2213 and 2220 is 4912860.