Least Common Multiple of 94 and 95
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 95 the smallest integer that is 8930 that is divisible by both numbers.
Least Common Multiple (LCM) of 94 and 95 is 8930.
LCM(94,95) = 8930
LCM of 94 and 95
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 94 and 95 by Prime method
- Least Common Multiple of 94 and 95 with GCF Formula
LCM of 94 and 95 is 8930
Least common multiple can be found by multiplying the highest exponent prime factors of 94 and 95. First we will calculate the prime factors of 94 and 95.
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 95
| 5 | 95 |
| 19 | 19 |
| 1 |
Prime factors of 95 are 5,19. Prime factorization of 95 in exponential form is:
95 = 51×191
Now multiplying the highest exponent prime factors to calculate the LCM of 94 and 95.
LCM(94,95) = 21×51×191×471
LCM(94,95) = 8930
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1, 2, 47, 94
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1, 5, 19, 95
Least Common Multiple of 94 and 95 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 95, than apply into the LCM equation.
GCF(94,95) = 1
LCM(94,95) = ( 94 × 95) / 1
LCM(94,95) = 8930 / 1
LCM(94,95) = 8930
Properties of LCM 94 and 95
(i) The LCM of 95 and 94 is associative
LCM of 94 and 95 = LCM of 95 and 94
Related Least Common Multiples of 94
Related Least Common Multiples of 95
Frequently Asked Questions on LCM of 94 and 95
1. What is the LCM of 94 and 95?
Answer: LCM of 94 and 95 is 8930.
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 95?
Answer: Factors of 95 are 1, 5, 19, 95. There are 4 integers that are factors of 95. The greatest factor of 95 is 95.
4. How to Find the LCM of 94 and 95?
Answer:
Least Common Multiple of 94 and 95 = 8930
Step 1: Find the prime factorization of 94
94 = 2 x 47
Step 2: Find the prime factorization of 95
95 = 5 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8930 = 2 x 5 x 19 x 47
Step 4: Therefore, the least common multiple of 94 and 95 is 8930.