Least Common Multiple (LCM) of 138 and 120
The least common multiple (LCM) of 138 and 120 is 2760.
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 120?
First, calculate the GCD of 138 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 138 ÷ 120 = 1 remainder 18 |
| 2 | 120 ÷ 18 = 6 remainder 12 |
| 3 | 18 ÷ 12 = 1 remainder 6 |
| 4 | 12 ÷ 6 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 185 | 34410 |
| 25 and 193 | 4825 |
| 180 and 29 | 5220 |
| 177 and 188 | 33276 |
| 180 and 46 | 4140 |