Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 190 and 193 the smallest integer that is 36670 that is divisible by both numbers.
Least Common Multiple (LCM) of 190 and 193 is 36670.
LCM(190,193) = 36670
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 190 and 193. First we will calculate the prime factors of 190 and 193.
Prime Factorization of 190
2 | 190 |
5 | 95 |
19 | 19 |
1 |
Prime factors of 190 are 2, 5,19. Prime factorization of 190 in exponential form is:
190 = 21×51×191
Prime Factorization of 193
193 | 193 |
1 |
Prime factors of 193 are 193. Prime factorization of 193 in exponential form is:
193 = 1931
Now multiplying the highest exponent prime factors to calculate the LCM of 190 and 193.
LCM(190,193) = 21×51×191×1931
LCM(190,193) = 36670
Factors of 190
List of positive integer factors of 190 that divides 190 without a remainder.
1, 2, 5, 10, 19, 38, 95, 190
Factors of 193
List of positive integer factors of 193 that divides 193 without a remainder.
1, 193
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 190 and 193, than apply into the LCM equation.
GCF(190,193) = 1
LCM(190,193) = ( 190 × 193) / 1
LCM(190,193) = 36670 / 1
LCM(190,193) = 36670
(i) The LCM of 193 and 190 is associative
LCM of 190 and 193 = LCM of 193 and 190
1. What is the LCM of 190 and 193?
Answer: LCM of 190 and 193 is 36670.
2. What are the Factors of 190?
Answer: Factors of 190 are 1, 2, 5, 10, 19, 38, 95, 190. There are 8 integers that are factors of 190. The greatest factor of 190 is 190.
3. What are the Factors of 193?
Answer: Factors of 193 are 1, 193. There are 2 integers that are factors of 193. The greatest factor of 193 is 193.
4. How to Find the LCM of 190 and 193?
Answer:
Least Common Multiple of 190 and 193 = 36670
Step 1: Find the prime factorization of 190
190 = 2 x 5 x 19
Step 2: Find the prime factorization of 193
193 = 193
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36670 = 2 x 5 x 19 x 193
Step 4: Therefore, the least common multiple of 190 and 193 is 36670.