Least Common Multiple (LCM) of 150 and 137
The least common multiple (LCM) of 150 and 137 is 20550.
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 150 and 137?
First, calculate the GCD of 150 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 137 = 1 remainder 13 |
| 2 | 137 ÷ 13 = 10 remainder 7 |
| 3 | 13 ÷ 7 = 1 remainder 6 |
| 4 | 7 ÷ 6 = 1 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 158 and 151 | 23858 |
| 184 and 188 | 8648 |
| 153 and 53 | 8109 |
| 181 and 38 | 6878 |
| 58 and 176 | 5104 |