Least Common Multiple (LCM) of 125 and 36
The least common multiple (LCM) of 125 and 36 is 4500.
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 36?
First, calculate the GCD of 125 and 36 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 36 = 3 remainder 17 |
| 2 | 36 ÷ 17 = 2 remainder 2 |
| 3 | 17 ÷ 2 = 8 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 138 | 2346 |
| 144 and 180 | 720 |
| 50 and 115 | 1150 |
| 17 and 45 | 765 |
| 92 and 145 | 13340 |