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 |
|---|---|
| 62 and 127 | 7874 |
| 138 and 82 | 5658 |
| 102 and 144 | 2448 |
| 176 and 95 | 16720 |
| 36 and 161 | 5796 |