Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2194 and 2195 the smallest integer that is 4815830 that is divisible by both numbers.
Least Common Multiple (LCM) of 2194 and 2195 is 4815830.
LCM(2194,2195) = 4815830
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 2194 and 2195. First we will calculate the prime factors of 2194 and 2195.
Prime Factorization of 2194
2 | 2194 |
1097 | 1097 |
1 |
Prime factors of 2194 are 2,1097. Prime factorization of 2194 in exponential form is:
2194 = 21×10971
Prime Factorization of 2195
5 | 2195 |
439 | 439 |
1 |
Prime factors of 2195 are 5,439. Prime factorization of 2195 in exponential form is:
2195 = 51×4391
Now multiplying the highest exponent prime factors to calculate the LCM of 2194 and 2195.
LCM(2194,2195) = 21×51×4391×10971
LCM(2194,2195) = 4815830
Factors of 2194
List of positive integer factors of 2194 that divides 2194 without a remainder.
1, 2, 1097, 2194
Factors of 2195
List of positive integer factors of 2195 that divides 2195 without a remainder.
1, 5, 439, 2195
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2194 and 2195, than apply into the LCM equation.
GCF(2194,2195) = 1
LCM(2194,2195) = ( 2194 × 2195) / 1
LCM(2194,2195) = 4815830 / 1
LCM(2194,2195) = 4815830
(i) The LCM of 2195 and 2194 is associative
LCM of 2194 and 2195 = LCM of 2195 and 2194
1. What is the LCM of 2194 and 2195?
Answer: LCM of 2194 and 2195 is 4815830.
2. What are the Factors of 2194?
Answer: Factors of 2194 are 1, 2, 1097, 2194. There are 4 integers that are factors of 2194. The greatest factor of 2194 is 2194.
3. What are the Factors of 2195?
Answer: Factors of 2195 are 1, 5, 439, 2195. There are 4 integers that are factors of 2195. The greatest factor of 2195 is 2195.
4. How to Find the LCM of 2194 and 2195?
Answer:
Least Common Multiple of 2194 and 2195 = 4815830
Step 1: Find the prime factorization of 2194
2194 = 2 x 1097
Step 2: Find the prime factorization of 2195
2195 = 5 x 439
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4815830 = 2 x 5 x 439 x 1097
Step 4: Therefore, the least common multiple of 2194 and 2195 is 4815830.