Least Common Multiple (LCM) of 125 and 139
The least common multiple (LCM) of 125 and 139 is 17375.
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 139?
First, calculate the GCD of 125 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 139 = 0 remainder 125 |
| 2 | 139 ÷ 125 = 1 remainder 14 |
| 3 | 125 ÷ 14 = 8 remainder 13 |
| 4 | 14 ÷ 13 = 1 remainder 1 |
| 5 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 190 and 45 | 1710 |
| 113 and 77 | 8701 |
| 46 and 107 | 4922 |
| 122 and 173 | 21106 |
| 60 and 70 | 420 |