Least Common Multiple (LCM) of 59 and 150
The least common multiple (LCM) of 59 and 150 is 8850.
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 59 and 150?
First, calculate the GCD of 59 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 59 ÷ 150 = 0 remainder 59 |
| 2 | 150 ÷ 59 = 2 remainder 32 |
| 3 | 59 ÷ 32 = 1 remainder 27 |
| 4 | 32 ÷ 27 = 1 remainder 5 |
| 5 | 27 ÷ 5 = 5 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 190 and 170 | 3230 |
| 49 and 29 | 1421 |
| 130 and 38 | 2470 |
| 197 and 94 | 18518 |
| 171 and 127 | 21717 |