Least Common Multiple (LCM) of 119 and 62
The least common multiple (LCM) of 119 and 62 is 7378.
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 62?
First, calculate the GCD of 119 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 62 = 1 remainder 57 |
| 2 | 62 ÷ 57 = 1 remainder 5 |
| 3 | 57 ÷ 5 = 11 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 182 and 16 | 1456 |
| 22 and 29 | 638 |
| 61 and 56 | 3416 |
| 158 and 116 | 9164 |
| 131 and 177 | 23187 |