Least Common Multiple of 97 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 97 and 100 the smallest integer that is 9700 that is divisible by both numbers.
Least Common Multiple (LCM) of 97 and 100 is 9700.
LCM(97,100) = 9700
LCM of 97 and 100
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 97 and 100 by Prime method
- Least Common Multiple of 97 and 100 with GCF Formula
LCM of 97 and 100 is 9700
Least common multiple can be found by multiplying the highest exponent prime factors of 97 and 100. First we will calculate the prime factors of 97 and 100.
Prime Factorization of 97
| 97 | 97 |
| 1 |
Prime factors of 97 are 97. Prime factorization of 97 in exponential form is:
97 = 971
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 97 and 100.
LCM(97,100) = 22×52×971
LCM(97,100) = 9700
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1, 97
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 97 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 97 and 100, than apply into the LCM equation.
GCF(97,100) = 1
LCM(97,100) = ( 97 × 100) / 1
LCM(97,100) = 9700 / 1
LCM(97,100) = 9700
Properties of LCM 97 and 100
(i) The LCM of 100 and 97 is associative
LCM of 97 and 100 = LCM of 100 and 97
Related Least Common Multiples of 97
Related Least Common Multiples of 100
Frequently Asked Questions on LCM of 97 and 100
1. What is the LCM of 97 and 100?
Answer: LCM of 97 and 100 is 9700.
2. What are the Factors of 97?
Answer: Factors of 97 are 1, 97. There are 2 integers that are factors of 97. The greatest factor of 97 is 97.
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 97 and 100?
Answer:
Least Common Multiple of 97 and 100 = 9700
Step 1: Find the prime factorization of 97
97 = 97
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 = 9700 = 2 x 2 x 5 x 5 x 97
Step 4: Therefore, the least common multiple of 97 and 100 is 9700.
