Least Common Multiple (LCM) of 125 and 47
The least common multiple (LCM) of 125 and 47 is 5875.
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 47?
First, calculate the GCD of 125 and 47 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 47 = 2 remainder 31 |
| 2 | 47 ÷ 31 = 1 remainder 16 |
| 3 | 31 ÷ 16 = 1 remainder 15 |
| 4 | 16 ÷ 15 = 1 remainder 1 |
| 5 | 15 ÷ 1 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 91 | 15561 |
| 35 and 196 | 980 |
| 127 and 99 | 12573 |
| 28 and 185 | 5180 |
| 199 and 59 | 11741 |