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