Least Common Multiple (LCM) of 140 and 49
The least common multiple (LCM) of 140 and 49 is 980.
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 49?
First, calculate the GCD of 140 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 49 = 2 remainder 42 |
| 2 | 49 ÷ 42 = 1 remainder 7 |
| 3 | 42 ÷ 7 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 188 and 24 | 1128 |
| 168 and 192 | 1344 |
| 36 and 39 | 468 |
| 75 and 139 | 10425 |
| 116 and 55 | 6380 |