Least Common Multiple (LCM) of 62 and 133
The least common multiple (LCM) of 62 and 133 is 8246.
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 133?
First, calculate the GCD of 62 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 62 ÷ 133 = 0 remainder 62 |
| 2 | 133 ÷ 62 = 2 remainder 9 |
| 3 | 62 ÷ 9 = 6 remainder 8 |
| 4 | 9 ÷ 8 = 1 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 53 and 37 | 1961 |
| 63 and 16 | 1008 |
| 104 and 106 | 5512 |
| 162 and 181 | 29322 |
| 31 and 61 | 1891 |