Least Common Multiple (LCM) of 88 and 172
The least common multiple (LCM) of 88 and 172 is 3784.
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 172?
First, calculate the GCD of 88 and 172 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 88 ÷ 172 = 0 remainder 88 |
| 2 | 172 ÷ 88 = 1 remainder 84 |
| 3 | 88 ÷ 84 = 1 remainder 4 |
| 4 | 84 ÷ 4 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 188 and 131 | 24628 |
| 90 and 107 | 9630 |
| 127 and 135 | 17145 |
| 63 and 142 | 8946 |
| 176 and 146 | 12848 |