Least Common Multiple of 87 and 94
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 87 and 94 the smallest integer that is 8178 that is divisible by both numbers.
Least Common Multiple (LCM) of 87 and 94 is 8178.
LCM(87,94) = 8178
LCM of 87 and 94
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 87 and 94 by Prime method
- Least Common Multiple of 87 and 94 with GCF Formula
LCM of 87 and 94 is 8178
Least common multiple can be found by multiplying the highest exponent prime factors of 87 and 94. First we will calculate the prime factors of 87 and 94.
Prime Factorization of 87
| 3 | 87 |
| 29 | 29 |
| 1 |
Prime factors of 87 are 3,29. Prime factorization of 87 in exponential form is:
87 = 31×291
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
Now multiplying the highest exponent prime factors to calculate the LCM of 87 and 94.
LCM(87,94) = 21×31×291×471
LCM(87,94) = 8178
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1, 2, 47, 94
Least Common Multiple of 87 and 94 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87 and 94, than apply into the LCM equation.
GCF(87,94) = 1
LCM(87,94) = ( 87 × 94) / 1
LCM(87,94) = 8178 / 1
LCM(87,94) = 8178
Properties of LCM 87 and 94
(i) The LCM of 94 and 87 is associative
LCM of 87 and 94 = LCM of 94 and 87
Related Least Common Multiples of 87
Related Least Common Multiples of 94
Frequently Asked Questions on LCM of 87 and 94
1. What is the LCM of 87 and 94?
Answer: LCM of 87 and 94 is 8178.
2. What are the Factors of 87?
Answer: Factors of 87 are 1, 3, 29, 87. There are 4 integers that are factors of 87. The greatest factor of 87 is 87.
3. 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.
4. How to Find the LCM of 87 and 94?
Answer:
Least Common Multiple of 87 and 94 = 8178
Step 1: Find the prime factorization of 87
87 = 3 x 29
Step 2: Find the prime factorization of 94
94 = 2 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8178 = 2 x 3 x 29 x 47
Step 4: Therefore, the least common multiple of 87 and 94 is 8178.