Least Common Multiple (LCM) of 192 and 136
The least common multiple (LCM) of 192 and 136 is 3264.
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 136?
First, calculate the GCD of 192 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 136 = 1 remainder 56 |
| 2 | 136 ÷ 56 = 2 remainder 24 |
| 3 | 56 ÷ 24 = 2 remainder 8 |
| 4 | 24 ÷ 8 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 85 | 11730 |
| 29 and 125 | 3625 |
| 102 and 140 | 7140 |
| 35 and 53 | 1855 |
| 88 and 159 | 13992 |