Least Common Multiple (LCM) of 148 and 137
The least common multiple (LCM) of 148 and 137 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 148 and 137?
First, calculate the GCD of 148 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 137 = 1 remainder 11 |
| 2 | 137 ÷ 11 = 12 remainder 5 |
| 3 | 11 ÷ 5 = 2 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 132 | 5940 |
| 191 and 167 | 31897 |
| 38 and 53 | 2014 |
| 188 and 119 | 22372 |
| 102 and 63 | 2142 |