Least Common Multiple (LCM) of 124 and 153
The least common multiple (LCM) of 124 and 153 is 18972.
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 124 and 153?
First, calculate the GCD of 124 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 153 = 0 remainder 124 |
| 2 | 153 ÷ 124 = 1 remainder 29 |
| 3 | 124 ÷ 29 = 4 remainder 8 |
| 4 | 29 ÷ 8 = 3 remainder 5 |
| 5 | 8 ÷ 5 = 1 remainder 3 |
| 6 | 5 ÷ 3 = 1 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 116 | 7308 |
| 155 and 194 | 30070 |
| 84 and 75 | 2100 |
| 177 and 44 | 7788 |
| 18 and 28 | 252 |