Least Common Multiple (LCM) of 48 and 124
The least common multiple (LCM) of 48 and 124 is 1488.
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 48 and 124?
First, calculate the GCD of 48 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 48 ÷ 124 = 0 remainder 48 |
| 2 | 124 ÷ 48 = 2 remainder 28 |
| 3 | 48 ÷ 28 = 1 remainder 20 |
| 4 | 28 ÷ 20 = 1 remainder 8 |
| 5 | 20 ÷ 8 = 2 remainder 4 |
| 6 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 112 | 11312 |
| 79 and 118 | 9322 |
| 196 and 66 | 6468 |
| 27 and 80 | 2160 |
| 172 and 24 | 1032 |