Least Common Multiple (LCM) of 125 and 148
The least common multiple (LCM) of 125 and 148 is 18500.
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 148?
First, calculate the GCD of 125 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 148 = 0 remainder 125 |
| 2 | 148 ÷ 125 = 1 remainder 23 |
| 3 | 125 ÷ 23 = 5 remainder 10 |
| 4 | 23 ÷ 10 = 2 remainder 3 |
| 5 | 10 ÷ 3 = 3 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 33 | 4917 |
| 62 and 33 | 2046 |
| 144 and 15 | 720 |
| 133 and 179 | 23807 |
| 67 and 62 | 4154 |