Least Common Multiple (LCM) of 88 and 140
The least common multiple (LCM) of 88 and 140 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 88 and 140?
First, calculate the GCD of 88 and 140 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 88 ÷ 140 = 0 remainder 88 |
| 2 | 140 ÷ 88 = 1 remainder 52 |
| 3 | 88 ÷ 52 = 1 remainder 36 |
| 4 | 52 ÷ 36 = 1 remainder 16 |
| 5 | 36 ÷ 16 = 2 remainder 4 |
| 6 | 16 ÷ 4 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 87 | 3480 |
| 63 and 21 | 63 |
| 14 and 199 | 2786 |
| 70 and 193 | 13510 |
| 178 and 69 | 12282 |