Least Common Multiple of 93 and 100
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 93 and 100 the smallest integer that is 9300 that is divisible by both numbers.
Least Common Multiple (LCM) of 93 and 100 is 9300.
LCM(93,100) = 9300
LCM of 93 and 100
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 93 and 100 by Prime method
- Least Common Multiple of 93 and 100 with GCF Formula
LCM of 93 and 100 is 9300
Least common multiple can be found by multiplying the highest exponent prime factors of 93 and 100. First we will calculate the prime factors of 93 and 100.
Prime Factorization of 93
| 3 | 93 |
| 31 | 31 |
| 1 |
Prime factors of 93 are 3,31. Prime factorization of 93 in exponential form is:
93 = 31×311
Prime Factorization of 100
| 2 | 100 |
| 2 | 50 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Prime factors of 100 are 2,5. Prime factorization of 100 in exponential form is:
100 = 22×52
Now multiplying the highest exponent prime factors to calculate the LCM of 93 and 100.
LCM(93,100) = 22×31×52×311
LCM(93,100) = 9300
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1, 3, 31, 93
Factors of 100
List of positive integer factors of 100 that divides 100 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100
Least Common Multiple of 93 and 100 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93 and 100, than apply into the LCM equation.
GCF(93,100) = 1
LCM(93,100) = ( 93 × 100) / 1
LCM(93,100) = 9300 / 1
LCM(93,100) = 9300
Properties of LCM 93 and 100
(i) The LCM of 100 and 93 is associative
LCM of 93 and 100 = LCM of 100 and 93
Related Least Common Multiples of 93
Related Least Common Multiples of 100
Frequently Asked Questions on LCM of 93 and 100
1. What is the LCM of 93 and 100?
Answer: LCM of 93 and 100 is 9300.
2. What are the Factors of 93?
Answer: Factors of 93 are 1, 3, 31, 93. There are 4 integers that are factors of 93. The greatest factor of 93 is 93.
3. What are the Factors of 100?
Answer: Factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100. There are 9 integers that are factors of 100. The greatest factor of 100 is 100.
4. How to Find the LCM of 93 and 100?
Answer:
Least Common Multiple of 93 and 100 = 9300
Step 1: Find the prime factorization of 93
93 = 3 x 31
Step 2: Find the prime factorization of 100
100 = 2 x 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 = 9300 = 2 x 2 x 3 x 5 x 5 x 31
Step 4: Therefore, the least common multiple of 93 and 100 is 9300.
