Least Common Multiple of 75 and 83
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 75 and 83 the smallest integer that is 6225 that is divisible by both numbers.
Least Common Multiple (LCM) of 75 and 83 is 6225.
LCM(75,83) = 6225
LCM of 75 and 83
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 75 and 83 by Prime method
- Least Common Multiple of 75 and 83 with GCF Formula
LCM of 75 and 83 is 6225
Least common multiple can be found by multiplying the highest exponent prime factors of 75 and 83. First we will calculate the prime factors of 75 and 83.
Prime Factorization of 75
| 3 | 75 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Prime factors of 75 are 3,5. Prime factorization of 75 in exponential form is:
75 = 31×52
Prime Factorization of 83
| 83 | 83 |
| 1 |
Prime factors of 83 are 83. Prime factorization of 83 in exponential form is:
83 = 831
Now multiplying the highest exponent prime factors to calculate the LCM of 75 and 83.
LCM(75,83) = 31×52×831
LCM(75,83) = 6225
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1, 83
Least Common Multiple of 75 and 83 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75 and 83, than apply into the LCM equation.
GCF(75,83) = 1
LCM(75,83) = ( 75 × 83) / 1
LCM(75,83) = 6225 / 1
LCM(75,83) = 6225
Properties of LCM 75 and 83
(i) The LCM of 83 and 75 is associative
LCM of 75 and 83 = LCM of 83 and 75
Related Least Common Multiples of 75
Related Least Common Multiples of 83
Frequently Asked Questions on LCM of 75 and 83
1. What is the LCM of 75 and 83?
Answer: LCM of 75 and 83 is 6225.
2. What are the Factors of 75?
Answer: Factors of 75 are 1, 3, 5, 15, 25, 75. There are 6 integers that are factors of 75. The greatest factor of 75 is 75.
3. What are the Factors of 83?
Answer: Factors of 83 are 1, 83. There are 2 integers that are factors of 83. The greatest factor of 83 is 83.
4. How to Find the LCM of 75 and 83?
Answer:
Least Common Multiple of 75 and 83 = 6225
Step 1: Find the prime factorization of 75
75 = 3 x 5 x 5
Step 2: Find the prime factorization of 83
83 = 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6225 = 3 x 5 x 5 x 83
Step 4: Therefore, the least common multiple of 75 and 83 is 6225.
