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 |
|---|---|
| 38 and 88 | 1672 |
| 169 and 186 | 31434 |
| 115 and 103 | 11845 |
| 152 and 163 | 24776 |
| 81 and 178 | 14418 |