Least Common Multiple (LCM) of 119 and 179
The least common multiple (LCM) of 119 and 179 is 21301.
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 119 and 179?
First, calculate the GCD of 119 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 179 = 0 remainder 119 |
| 2 | 179 ÷ 119 = 1 remainder 60 |
| 3 | 119 ÷ 60 = 1 remainder 59 |
| 4 | 60 ÷ 59 = 1 remainder 1 |
| 5 | 59 ÷ 1 = 59 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 35 and 119 | 595 |
| 123 and 133 | 16359 |
| 62 and 154 | 4774 |
| 129 and 200 | 25800 |
| 74 and 199 | 14726 |