Least Common Multiple (LCM) of 125 and 34
The least common multiple (LCM) of 125 and 34 is 4250.
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 125 and 34?
First, calculate the GCD of 125 and 34 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 34 = 3 remainder 23 |
| 2 | 34 ÷ 23 = 1 remainder 11 |
| 3 | 23 ÷ 11 = 2 remainder 1 |
| 4 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 139 and 95 | 13205 |
| 168 and 121 | 20328 |
| 111 and 188 | 20868 |
| 145 and 23 | 3335 |
| 107 and 40 | 4280 |