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 |
|---|---|
| 64 and 175 | 11200 |
| 120 and 74 | 4440 |
| 137 and 190 | 26030 |
| 187 and 54 | 10098 |
| 88 and 108 | 2376 |