Least Common Multiple (LCM) of 153 and 125
The least common multiple (LCM) of 153 and 125 is 19125.
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 153 and 125?
First, calculate the GCD of 153 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 125 = 1 remainder 28 |
| 2 | 125 ÷ 28 = 4 remainder 13 |
| 3 | 28 ÷ 13 = 2 remainder 2 |
| 4 | 13 ÷ 2 = 6 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 132 | 6600 |
| 74 and 65 | 4810 |
| 109 and 151 | 16459 |
| 61 and 188 | 11468 |
| 111 and 90 | 3330 |