Least Common Multiple (LCM) of 138 and 95
The least common multiple (LCM) of 138 and 95 is 13110.
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 138 and 95?
First, calculate the GCD of 138 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 138 ÷ 95 = 1 remainder 43 |
| 2 | 95 ÷ 43 = 2 remainder 9 |
| 3 | 43 ÷ 9 = 4 remainder 7 |
| 4 | 9 ÷ 7 = 1 remainder 2 |
| 5 | 7 ÷ 2 = 3 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 58 and 156 | 4524 |
| 187 and 51 | 561 |
| 95 and 11 | 1045 |
| 189 and 154 | 4158 |
| 10 and 56 | 280 |