Least Common Multiple (LCM) of 64 and 147
The least common multiple (LCM) of 64 and 147 is 9408.
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 147?
First, calculate the GCD of 64 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 64 ÷ 147 = 0 remainder 64 |
| 2 | 147 ÷ 64 = 2 remainder 19 |
| 3 | 64 ÷ 19 = 3 remainder 7 |
| 4 | 19 ÷ 7 = 2 remainder 5 |
| 5 | 7 ÷ 5 = 1 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 23 | 3657 |
| 50 and 55 | 550 |
| 186 and 81 | 5022 |
| 73 and 117 | 8541 |
| 192 and 40 | 960 |