Least Common Multiple (LCM) of 137 and 148
The least common multiple (LCM) of 137 and 148 is 20276.
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 137 and 148?
First, calculate the GCD of 137 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 137 ÷ 148 = 0 remainder 137 |
| 2 | 148 ÷ 137 = 1 remainder 11 |
| 3 | 137 ÷ 11 = 12 remainder 5 |
| 4 | 11 ÷ 5 = 2 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 74 and 37 | 74 |
| 122 and 15 | 1830 |
| 127 and 106 | 13462 |
| 40 and 108 | 1080 |
| 92 and 74 | 3404 |