Least Common Multiple (LCM) of 125 and 26
The least common multiple (LCM) of 125 and 26 is 3250.
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 26?
First, calculate the GCD of 125 and 26 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 26 = 4 remainder 21 |
| 2 | 26 ÷ 21 = 1 remainder 5 |
| 3 | 21 ÷ 5 = 4 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 153 and 88 | 13464 |
| 89 and 33 | 2937 |
| 58 and 176 | 5104 |
| 131 and 185 | 24235 |
| 160 and 13 | 2080 |