Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2192 and 2195 the smallest integer that is 4811440 that is divisible by both numbers.
Least Common Multiple (LCM) of 2192 and 2195 is 4811440.
LCM(2192,2195) = 4811440
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 2192 and 2195. First we will calculate the prime factors of 2192 and 2195.
Prime Factorization of 2192
2 | 2192 |
2 | 1096 |
2 | 548 |
2 | 274 |
137 | 137 |
1 |
Prime factors of 2192 are 2,137. Prime factorization of 2192 in exponential form is:
2192 = 24×1371
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 2192 and 2195.
LCM(2192,2195) = 24×51×1371×4391
LCM(2192,2195) = 4811440
Factors of 2192
List of positive integer factors of 2192 that divides 2192 without a remainder.
1, 2, 4, 8, 16, 137, 274, 548, 1096, 2192
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 2192 and 2195, than apply into the LCM equation.
GCF(2192,2195) = 1
LCM(2192,2195) = ( 2192 × 2195) / 1
LCM(2192,2195) = 4811440 / 1
LCM(2192,2195) = 4811440
(i) The LCM of 2195 and 2192 is associative
LCM of 2192 and 2195 = LCM of 2195 and 2192
1. What is the LCM of 2192 and 2195?
Answer: LCM of 2192 and 2195 is 4811440.
2. What are the Factors of 2192?
Answer: Factors of 2192 are 1, 2, 4, 8, 16, 137, 274, 548, 1096, 2192. There are 10 integers that are factors of 2192. The greatest factor of 2192 is 2192.
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 2192 and 2195?
Answer:
Least Common Multiple of 2192 and 2195 = 4811440
Step 1: Find the prime factorization of 2192
2192 = 2 x 2 x 2 x 2 x 137
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 = 4811440 = 2 x 2 x 2 x 2 x 5 x 137 x 439
Step 4: Therefore, the least common multiple of 2192 and 2195 is 4811440.