Least Common Multiple (LCM) of 63 and 155
The least common multiple (LCM) of 63 and 155 is 9765.
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 155?
First, calculate the GCD of 63 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 63 ÷ 155 = 0 remainder 63 |
| 2 | 155 ÷ 63 = 2 remainder 29 |
| 3 | 63 ÷ 29 = 2 remainder 5 |
| 4 | 29 ÷ 5 = 5 remainder 4 |
| 5 | 5 ÷ 4 = 1 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 134 | 8308 |
| 168 and 15 | 840 |
| 130 and 25 | 650 |
| 48 and 101 | 4848 |
| 118 and 156 | 9204 |