Least Common Multiple (LCM) of 119 and 178
The least common multiple (LCM) of 119 and 178 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 119 and 178?
First, calculate the GCD of 119 and 178 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 178 = 0 remainder 119 |
| 2 | 178 ÷ 119 = 1 remainder 59 |
| 3 | 119 ÷ 59 = 2 remainder 1 |
| 4 | 59 ÷ 1 = 59 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 151 | 22650 |
| 152 and 21 | 3192 |
| 67 and 190 | 12730 |
| 84 and 111 | 3108 |
| 50 and 58 | 1450 |