Least Common Multiple (LCM) of 140 and 88
The least common multiple (LCM) of 140 and 88 is 3080.
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 88?
First, calculate the GCD of 140 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 88 = 1 remainder 52 |
| 2 | 88 ÷ 52 = 1 remainder 36 |
| 3 | 52 ÷ 36 = 1 remainder 16 |
| 4 | 36 ÷ 16 = 2 remainder 4 |
| 5 | 16 ÷ 4 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 24 and 136 | 408 |
| 150 and 173 | 25950 |
| 60 and 140 | 420 |
| 14 and 18 | 126 |
| 138 and 115 | 690 |