Least Common Multiple of 94 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 94 and 100 the smallest integer that is 4700 that is divisible by both numbers.
Least Common Multiple (LCM) of 94 and 100 is 4700.
LCM(94,100) = 4700
LCM of 94 and 100
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 94 and 100 by Prime method
- Least Common Multiple of 94 and 100 with GCF Formula
LCM of 94 and 100 is 4700
Least common multiple can be found by multiplying the highest exponent prime factors of 94 and 100. First we will calculate the prime factors of 94 and 100.
Prime Factorization of 94
| 2 | 94 |
| 47 | 47 |
| 1 |
Prime factors of 94 are 2,47. Prime factorization of 94 in exponential form is:
94 = 21×471
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 94 and 100.
LCM(94,100) = 22×52×471
LCM(94,100) = 4700
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1, 2, 47, 94
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 94 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 94 and 100, than apply into the LCM equation.
GCF(94,100) = 2
LCM(94,100) = ( 94 × 100) / 2
LCM(94,100) = 9400 / 2
LCM(94,100) = 4700
Properties of LCM 94 and 100
(i) The LCM of 100 and 94 is associative
LCM of 94 and 100 = LCM of 100 and 94
Related Least Common Multiples of 94
Related Least Common Multiples of 100
Frequently Asked Questions on LCM of 94 and 100
1. What is the LCM of 94 and 100?
Answer: LCM of 94 and 100 is 4700.
2. What are the Factors of 94?
Answer: Factors of 94 are 1, 2, 47, 94. There are 4 integers that are factors of 94. The greatest factor of 94 is 94.
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 94 and 100?
Answer:
Least Common Multiple of 94 and 100 = 4700
Step 1: Find the prime factorization of 94
94 = 2 x 47
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 = 4700 = 2 x 2 x 5 x 5 x 47
Step 4: Therefore, the least common multiple of 94 and 100 is 4700.