Least Common Multiple (LCM) of 124 and 159
The least common multiple (LCM) of 124 and 159 is 19716.
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 159?
First, calculate the GCD of 124 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 159 = 0 remainder 124 |
| 2 | 159 ÷ 124 = 1 remainder 35 |
| 3 | 124 ÷ 35 = 3 remainder 19 |
| 4 | 35 ÷ 19 = 1 remainder 16 |
| 5 | 19 ÷ 16 = 1 remainder 3 |
| 6 | 16 ÷ 3 = 5 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 68 | 9316 |
| 10 and 34 | 170 |
| 103 and 129 | 13287 |
| 97 and 140 | 13580 |
| 37 and 102 | 3774 |