Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 47 and 50 the smallest integer that is 2350 that is divisible by both numbers.
Least Common Multiple (LCM) of 47 and 50 is 2350.
LCM(47,50) = 2350
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 47 and 50. First we will calculate the prime factors of 47 and 50.
Prime Factorization of 47
47 | 47 |
1 |
Prime factors of 47 are 47. Prime factorization of 47 in exponential form is:
47 = 471
Prime Factorization of 50
2 | 50 |
5 | 25 |
5 | 5 |
1 |
Prime factors of 50 are 2,5. Prime factorization of 50 in exponential form is:
50 = 21×52
Now multiplying the highest exponent prime factors to calculate the LCM of 47 and 50.
LCM(47,50) = 21×52×471
LCM(47,50) = 2350
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1, 47
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47 and 50, than apply into the LCM equation.
GCF(47,50) = 1
LCM(47,50) = ( 47 × 50) / 1
LCM(47,50) = 2350 / 1
LCM(47,50) = 2350
(i) The LCM of 50 and 47 is associative
LCM of 47 and 50 = LCM of 50 and 47
1. What is the LCM of 47 and 50?
Answer: LCM of 47 and 50 is 2350.
2. What are the Factors of 47?
Answer: Factors of 47 are 1, 47. There are 2 integers that are factors of 47. The greatest factor of 47 is 47.
3. What are the Factors of 50?
Answer: Factors of 50 are 1, 2, 5, 10, 25, 50. There are 6 integers that are factors of 50. The greatest factor of 50 is 50.
4. How to Find the LCM of 47 and 50?
Answer:
Least Common Multiple of 47 and 50 = 2350
Step 1: Find the prime factorization of 47
47 = 47
Step 2: Find the prime factorization of 50
50 = 2 x 5 x 5
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2350 = 2 x 5 x 5 x 47
Step 4: Therefore, the least common multiple of 47 and 50 is 2350.