Least Common Multiple (LCM) of 95 and 167
The least common multiple (LCM) of 95 and 167 is 15865.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 95 and 167?
First, calculate the GCD of 95 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 95 ÷ 167 = 0 remainder 95 |
| 2 | 167 ÷ 95 = 1 remainder 72 |
| 3 | 95 ÷ 72 = 1 remainder 23 |
| 4 | 72 ÷ 23 = 3 remainder 3 |
| 5 | 23 ÷ 3 = 7 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 134 and 54 | 3618 |
| 153 and 92 | 14076 |
| 82 and 149 | 12218 |
| 40 and 16 | 80 |
| 106 and 167 | 17702 |