Least Common Multiple (LCM) of 155 and 63
The least common multiple (LCM) of 155 and 63 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 155 and 63?
First, calculate the GCD of 155 and 63 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 63 = 2 remainder 29 |
| 2 | 63 ÷ 29 = 2 remainder 5 |
| 3 | 29 ÷ 5 = 5 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 37 | 7104 |
| 77 and 132 | 924 |
| 33 and 82 | 2706 |
| 83 and 115 | 9545 |
| 135 and 132 | 5940 |