Least Common Multiple (LCM) of 190 and 125
The least common multiple (LCM) of 190 and 125 is 4750.
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 190 and 125?
First, calculate the GCD of 190 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 125 = 1 remainder 65 |
| 2 | 125 ÷ 65 = 1 remainder 60 |
| 3 | 65 ÷ 60 = 1 remainder 5 |
| 4 | 60 ÷ 5 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 88 | 8184 |
| 49 and 145 | 7105 |
| 130 and 52 | 260 |
| 111 and 45 | 1665 |
| 93 and 12 | 372 |