Least Common Multiple (LCM) of 125 and 91
The least common multiple (LCM) of 125 and 91 is 11375.
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 91?
First, calculate the GCD of 125 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 91 = 1 remainder 34 |
| 2 | 91 ÷ 34 = 2 remainder 23 |
| 3 | 34 ÷ 23 = 1 remainder 11 |
| 4 | 23 ÷ 11 = 2 remainder 1 |
| 5 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 19 | 114 |
| 169 and 87 | 14703 |
| 24 and 64 | 192 |
| 173 and 143 | 24739 |
| 174 and 66 | 1914 |