Least Common Multiple (LCM) of 140 and 119
The least common multiple (LCM) of 140 and 119 is 2380.
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 119?
First, calculate the GCD of 140 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 119 = 1 remainder 21 |
| 2 | 119 ÷ 21 = 5 remainder 14 |
| 3 | 21 ÷ 14 = 1 remainder 7 |
| 4 | 14 ÷ 7 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 77 and 162 | 12474 |
| 45 and 29 | 1305 |
| 184 and 184 | 184 |
| 130 and 196 | 12740 |
| 14 and 18 | 126 |