Least Common Multiple (LCM) of 124 and 147
The least common multiple (LCM) of 124 and 147 is 18228.
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 147?
First, calculate the GCD of 124 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 147 = 0 remainder 124 |
| 2 | 147 ÷ 124 = 1 remainder 23 |
| 3 | 124 ÷ 23 = 5 remainder 9 |
| 4 | 23 ÷ 9 = 2 remainder 5 |
| 5 | 9 ÷ 5 = 1 remainder 4 |
| 6 | 5 ÷ 4 = 1 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 92 | 8188 |
| 69 and 143 | 9867 |
| 37 and 186 | 6882 |
| 96 and 104 | 1248 |
| 145 and 188 | 27260 |