Least Common Multiple (LCM) of 63 and 124
The least common multiple (LCM) of 63 and 124 is 7812.
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 63 and 124?
First, calculate the GCD of 63 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 63 ÷ 124 = 0 remainder 63 |
| 2 | 124 ÷ 63 = 1 remainder 61 |
| 3 | 63 ÷ 61 = 1 remainder 2 |
| 4 | 61 ÷ 2 = 30 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 15 | 660 |
| 23 and 26 | 598 |
| 126 and 129 | 5418 |
| 113 and 161 | 18193 |
| 112 and 72 | 1008 |