Least Common Multiple (LCM) of 64 and 154
The least common multiple (LCM) of 64 and 154 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 64 and 154?
First, calculate the GCD of 64 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 64 ÷ 154 = 0 remainder 64 |
| 2 | 154 ÷ 64 = 2 remainder 26 |
| 3 | 64 ÷ 26 = 2 remainder 12 |
| 4 | 26 ÷ 12 = 2 remainder 2 |
| 5 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 23 | 3887 |
| 69 and 18 | 414 |
| 142 and 175 | 24850 |
| 142 and 156 | 11076 |
| 123 and 131 | 16113 |