Least Common Multiple (LCM) of 178 and 120
The least common multiple (LCM) of 178 and 120 is 10680.
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 120?
First, calculate the GCD of 178 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 120 = 1 remainder 58 |
| 2 | 120 ÷ 58 = 2 remainder 4 |
| 3 | 58 ÷ 4 = 14 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 52 and 184 | 2392 |
| 117 and 47 | 5499 |
| 149 and 21 | 3129 |
| 113 and 153 | 17289 |
| 71 and 38 | 2698 |