Least Common Multiple (LCM) of 140 and 64
The least common multiple (LCM) of 140 and 64 is 2240.
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 140 and 64?
First, calculate the GCD of 140 and 64 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 64 = 2 remainder 12 |
| 2 | 64 ÷ 12 = 5 remainder 4 |
| 3 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 11 and 74 | 814 |
| 111 and 135 | 4995 |
| 48 and 60 | 240 |
| 159 and 13 | 2067 |
| 110 and 56 | 3080 |