Least Common Multiple (LCM) of 125 and 152
The least common multiple (LCM) of 125 and 152 is 19000.
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 152?
First, calculate the GCD of 125 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 152 = 0 remainder 125 |
| 2 | 152 ÷ 125 = 1 remainder 27 |
| 3 | 125 ÷ 27 = 4 remainder 17 |
| 4 | 27 ÷ 17 = 1 remainder 10 |
| 5 | 17 ÷ 10 = 1 remainder 7 |
| 6 | 10 ÷ 7 = 1 remainder 3 |
| 7 | 7 ÷ 3 = 2 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 160 | 30240 |
| 190 and 152 | 760 |
| 134 and 114 | 7638 |
| 84 and 135 | 3780 |
| 64 and 178 | 5696 |