Least Common Multiple (LCM) of 125 and 35
The least common multiple (LCM) of 125 and 35 is 875.
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 35?
First, calculate the GCD of 125 and 35 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 35 = 3 remainder 20 |
| 2 | 35 ÷ 20 = 1 remainder 15 |
| 3 | 20 ÷ 15 = 1 remainder 5 |
| 4 | 15 ÷ 5 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 15 | 1995 |
| 52 and 87 | 4524 |
| 30 and 117 | 1170 |
| 190 and 62 | 5890 |
| 150 and 194 | 14550 |