Least Common Multiple (LCM) of 124 and 141
The least common multiple (LCM) of 124 and 141 is 17484.
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 141?
First, calculate the GCD of 124 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 141 = 0 remainder 124 |
| 2 | 141 ÷ 124 = 1 remainder 17 |
| 3 | 124 ÷ 17 = 7 remainder 5 |
| 4 | 17 ÷ 5 = 3 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 62 and 89 | 5518 |
| 10 and 147 | 1470 |
| 191 and 87 | 16617 |
| 174 and 88 | 7656 |
| 164 and 191 | 31324 |