Least Common Multiple (LCM) of 62 and 159
The least common multiple (LCM) of 62 and 159 is 9858.
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 62 and 159?
First, calculate the GCD of 62 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 62 ÷ 159 = 0 remainder 62 |
| 2 | 159 ÷ 62 = 2 remainder 35 |
| 3 | 62 ÷ 35 = 1 remainder 27 |
| 4 | 35 ÷ 27 = 1 remainder 8 |
| 5 | 27 ÷ 8 = 3 remainder 3 |
| 6 | 8 ÷ 3 = 2 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 32 and 63 | 2016 |
| 132 and 177 | 7788 |
| 170 and 166 | 14110 |
| 126 and 108 | 756 |
| 33 and 106 | 3498 |