Least Common Multiple (LCM) of 35 and 124
The least common multiple (LCM) of 35 and 124 is 4340.
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 35 and 124?
First, calculate the GCD of 35 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 35 ÷ 124 = 0 remainder 35 |
| 2 | 124 ÷ 35 = 3 remainder 19 |
| 3 | 35 ÷ 19 = 1 remainder 16 |
| 4 | 19 ÷ 16 = 1 remainder 3 |
| 5 | 16 ÷ 3 = 5 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 78 and 185 | 14430 |
| 136 and 189 | 25704 |
| 184 and 128 | 2944 |
| 189 and 62 | 11718 |
| 193 and 123 | 23739 |