Least Common Multiple (LCM) of 124 and 158
The least common multiple (LCM) of 124 and 158 is 9796.
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 158?
First, calculate the GCD of 124 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 158 = 0 remainder 124 |
| 2 | 158 ÷ 124 = 1 remainder 34 |
| 3 | 124 ÷ 34 = 3 remainder 22 |
| 4 | 34 ÷ 22 = 1 remainder 12 |
| 5 | 22 ÷ 12 = 1 remainder 10 |
| 6 | 12 ÷ 10 = 1 remainder 2 |
| 7 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 13 and 136 | 1768 |
| 191 and 131 | 25021 |
| 37 and 68 | 2516 |
| 50 and 29 | 1450 |
| 92 and 44 | 1012 |