Least Common Multiple (LCM) of 138 and 148
The least common multiple (LCM) of 138 and 148 is 10212.
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 148?
First, calculate the GCD of 138 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 138 ÷ 148 = 0 remainder 138 |
| 2 | 148 ÷ 138 = 1 remainder 10 |
| 3 | 138 ÷ 10 = 13 remainder 8 |
| 4 | 10 ÷ 8 = 1 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 134 and 106 | 7102 |
| 31 and 115 | 3565 |
| 123 and 72 | 2952 |
| 55 and 142 | 7810 |
| 199 and 70 | 13930 |