Least Common Multiple (LCM) of 63 and 154
The least common multiple (LCM) of 63 and 154 is 1386.
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 154?
First, calculate the GCD of 63 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 63 ÷ 154 = 0 remainder 63 |
| 2 | 154 ÷ 63 = 2 remainder 28 |
| 3 | 63 ÷ 28 = 2 remainder 7 |
| 4 | 28 ÷ 7 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 191 and 196 | 37436 |
| 116 and 21 | 2436 |
| 21 and 91 | 273 |
| 144 and 122 | 8784 |
| 45 and 76 | 3420 |