Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2199 and 2202 the smallest integer that is 1614066 that is divisible by both numbers.
Least Common Multiple (LCM) of 2199 and 2202 is 1614066.
LCM(2199,2202) = 1614066
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 2199 and 2202. First we will calculate the prime factors of 2199 and 2202.
Prime Factorization of 2199
3 | 2199 |
733 | 733 |
1 |
Prime factors of 2199 are 3,733. Prime factorization of 2199 in exponential form is:
2199 = 31×7331
Prime Factorization of 2202
2 | 2202 |
3 | 1101 |
367 | 367 |
1 |
Prime factors of 2202 are 2, 3,367. Prime factorization of 2202 in exponential form is:
2202 = 21×31×3671
Now multiplying the highest exponent prime factors to calculate the LCM of 2199 and 2202.
LCM(2199,2202) = 21×31×3671×7331
LCM(2199,2202) = 1614066
Factors of 2199
List of positive integer factors of 2199 that divides 2199 without a remainder.
1, 3, 733, 2199
Factors of 2202
List of positive integer factors of 2202 that divides 2202 without a remainder.
1, 2, 3, 6, 367, 734, 1101, 2202
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2199 and 2202, than apply into the LCM equation.
GCF(2199,2202) = 3
LCM(2199,2202) = ( 2199 × 2202) / 3
LCM(2199,2202) = 4842198 / 3
LCM(2199,2202) = 1614066
(i) The LCM of 2202 and 2199 is associative
LCM of 2199 and 2202 = LCM of 2202 and 2199
1. What is the LCM of 2199 and 2202?
Answer: LCM of 2199 and 2202 is 1614066.
2. What are the Factors of 2199?
Answer: Factors of 2199 are 1, 3, 733, 2199. There are 4 integers that are factors of 2199. The greatest factor of 2199 is 2199.
3. What are the Factors of 2202?
Answer: Factors of 2202 are 1, 2, 3, 6, 367, 734, 1101, 2202. There are 8 integers that are factors of 2202. The greatest factor of 2202 is 2202.
4. How to Find the LCM of 2199 and 2202?
Answer:
Least Common Multiple of 2199 and 2202 = 1614066
Step 1: Find the prime factorization of 2199
2199 = 3 x 733
Step 2: Find the prime factorization of 2202
2202 = 2 x 3 x 367
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1614066 = 2 x 3 x 367 x 733
Step 4: Therefore, the least common multiple of 2199 and 2202 is 1614066.