Least Common Multiple (LCM) of 192 and 59
The least common multiple (LCM) of 192 and 59 is 11328.
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 192 and 59?
First, calculate the GCD of 192 and 59 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 59 = 3 remainder 15 |
| 2 | 59 ÷ 15 = 3 remainder 14 |
| 3 | 15 ÷ 14 = 1 remainder 1 |
| 4 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 23 and 38 | 874 |
| 85 and 195 | 3315 |
| 39 and 178 | 6942 |
| 137 and 29 | 3973 |
| 11 and 77 | 77 |