Least Common Multiple (LCM) of 63 and 136
The least common multiple (LCM) of 63 and 136 is 8568.
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 63 and 136?
First, calculate the GCD of 63 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 63 ÷ 136 = 0 remainder 63 |
| 2 | 136 ÷ 63 = 2 remainder 10 |
| 3 | 63 ÷ 10 = 6 remainder 3 |
| 4 | 10 ÷ 3 = 3 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 119 | 16303 |
| 199 and 80 | 15920 |
| 163 and 62 | 10106 |
| 144 and 59 | 8496 |
| 95 and 168 | 15960 |