Least Common Multiple (LCM) of 154 and 64
The least common multiple (LCM) of 154 and 64 is 4928.
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 154 and 64?
First, calculate the GCD of 154 and 64 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 64 = 2 remainder 26 |
| 2 | 64 ÷ 26 = 2 remainder 12 |
| 3 | 26 ÷ 12 = 2 remainder 2 |
| 4 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 21 and 98 | 294 |
| 105 and 157 | 16485 |
| 36 and 105 | 1260 |
| 123 and 127 | 15621 |
| 188 and 26 | 2444 |