Least Common Multiple (LCM) of 125 and 88
The least common multiple (LCM) of 125 and 88 is 11000.
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 88?
First, calculate the GCD of 125 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 88 = 1 remainder 37 |
| 2 | 88 ÷ 37 = 2 remainder 14 |
| 3 | 37 ÷ 14 = 2 remainder 9 |
| 4 | 14 ÷ 9 = 1 remainder 5 |
| 5 | 9 ÷ 5 = 1 remainder 4 |
| 6 | 5 ÷ 4 = 1 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 94 | 11562 |
| 137 and 122 | 16714 |
| 90 and 37 | 3330 |
| 11 and 103 | 1133 |
| 118 and 189 | 22302 |