Least Common Multiple (LCM) of 64 and 142
The least common multiple (LCM) of 64 and 142 is 4544.
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 142?
First, calculate the GCD of 64 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 64 ÷ 142 = 0 remainder 64 |
| 2 | 142 ÷ 64 = 2 remainder 14 |
| 3 | 64 ÷ 14 = 4 remainder 8 |
| 4 | 14 ÷ 8 = 1 remainder 6 |
| 5 | 8 ÷ 6 = 1 remainder 2 |
| 6 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 75 and 137 | 10275 |
| 86 and 150 | 6450 |
| 65 and 191 | 12415 |
| 13 and 117 | 117 |
| 192 and 55 | 10560 |