Least Common Multiple (LCM) of 178 and 119
The least common multiple (LCM) of 178 and 119 is 21182.
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 178 and 119?
First, calculate the GCD of 178 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 119 = 1 remainder 59 |
| 2 | 119 ÷ 59 = 2 remainder 1 |
| 3 | 59 ÷ 1 = 59 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 109 | 13734 |
| 74 and 86 | 3182 |
| 161 and 38 | 6118 |
| 150 and 66 | 1650 |
| 141 and 78 | 3666 |