Least Common Multiple (LCM) of 179 and 119
The least common multiple (LCM) of 179 and 119 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 179 and 119?
First, calculate the GCD of 179 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 119 = 1 remainder 60 |
| 2 | 119 ÷ 60 = 1 remainder 59 |
| 3 | 60 ÷ 59 = 1 remainder 1 |
| 4 | 59 ÷ 1 = 59 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 20 and 51 | 1020 |
| 160 and 194 | 15520 |
| 47 and 115 | 5405 |
| 58 and 114 | 3306 |
| 19 and 123 | 2337 |