Least Common Multiple (LCM) of 115 and 138
The least common multiple (LCM) of 115 and 138 is 690.
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 115 and 138?
First, calculate the GCD of 115 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 115 ÷ 138 = 0 remainder 115 |
| 2 | 138 ÷ 115 = 1 remainder 23 |
| 3 | 115 ÷ 23 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 10 and 16 | 80 |
| 160 and 89 | 14240 |
| 123 and 91 | 11193 |
| 57 and 191 | 10887 |
| 87 and 140 | 12180 |