Least Common Multiple (LCM) of 88 and 125
The least common multiple (LCM) of 88 and 125 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 88 and 125?
First, calculate the GCD of 88 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 88 ÷ 125 = 0 remainder 88 |
| 2 | 125 ÷ 88 = 1 remainder 37 |
| 3 | 88 ÷ 37 = 2 remainder 14 |
| 4 | 37 ÷ 14 = 2 remainder 9 |
| 5 | 14 ÷ 9 = 1 remainder 5 |
| 6 | 9 ÷ 5 = 1 remainder 4 |
| 7 | 5 ÷ 4 = 1 remainder 1 |
| 8 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 88 | 2200 |
| 128 and 166 | 10624 |
| 175 and 31 | 5425 |
| 169 and 60 | 10140 |
| 106 and 12 | 636 |