Least Common Multiple (LCM) of 141 and 64
The least common multiple (LCM) of 141 and 64 is 9024.
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 141 and 64?
First, calculate the GCD of 141 and 64 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 64 = 2 remainder 13 |
| 2 | 64 ÷ 13 = 4 remainder 12 |
| 3 | 13 ÷ 12 = 1 remainder 1 |
| 4 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 156 and 161 | 25116 |
| 13 and 150 | 1950 |
| 170 and 137 | 23290 |
| 75 and 73 | 5475 |
| 54 and 96 | 864 |