Least Common Multiple (LCM) of 64 and 124
The least common multiple (LCM) of 64 and 124 is 1984.
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 64 and 124?
First, calculate the GCD of 64 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 64 ÷ 124 = 0 remainder 64 |
| 2 | 124 ÷ 64 = 1 remainder 60 |
| 3 | 64 ÷ 60 = 1 remainder 4 |
| 4 | 60 ÷ 4 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 45 and 41 | 1845 |
| 71 and 174 | 12354 |
| 126 and 189 | 378 |
| 142 and 77 | 10934 |
| 189 and 176 | 33264 |