Least Common Multiple (LCM) of 119 and 58
The least common multiple (LCM) of 119 and 58 is 6902.
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 58?
First, calculate the GCD of 119 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 58 = 2 remainder 3 |
| 2 | 58 ÷ 3 = 19 remainder 1 |
| 3 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 59 | 7611 |
| 105 and 172 | 18060 |
| 143 and 129 | 18447 |
| 82 and 13 | 1066 |
| 156 and 70 | 5460 |