Least Common Multiple (LCM) of 124 and 154
The least common multiple (LCM) of 124 and 154 is 9548.
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 154?
First, calculate the GCD of 124 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 154 = 0 remainder 124 |
| 2 | 154 ÷ 124 = 1 remainder 30 |
| 3 | 124 ÷ 30 = 4 remainder 4 |
| 4 | 30 ÷ 4 = 7 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 104 | 104 |
| 41 and 146 | 5986 |
| 181 and 15 | 2715 |
| 198 and 157 | 31086 |
| 74 and 32 | 1184 |