Least Common Multiple (LCM) of 172 and 160
The least common multiple (LCM) of 172 and 160 is 6880.
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 172 and 160?
First, calculate the GCD of 172 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 160 = 1 remainder 12 |
| 2 | 160 ÷ 12 = 13 remainder 4 |
| 3 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 99 | 9999 |
| 103 and 193 | 19879 |
| 120 and 200 | 600 |
| 185 and 17 | 3145 |
| 38 and 172 | 3268 |