Least Common Multiple (LCM) of 590 and 597
The least common multiple (LCM) of 590 and 597 is 352230.
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 590 and 597?
First, calculate the GCD of 590 and 597 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 590 ÷ 597 = 0 remainder 590 |
| 2 | 597 ÷ 590 = 1 remainder 7 |
| 3 | 590 ÷ 7 = 84 remainder 2 |
| 4 | 7 ÷ 2 = 3 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 48 and 35 | 1680 |
| 167 and 188 | 31396 |
| 76 and 195 | 14820 |
| 117 and 132 | 5148 |
| 148 and 50 | 3700 |