Least Common Multiple (LCM) of 178 and 121
The least common multiple (LCM) of 178 and 121 is 21538.
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 121?
First, calculate the GCD of 178 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 121 = 1 remainder 57 |
| 2 | 121 ÷ 57 = 2 remainder 7 |
| 3 | 57 ÷ 7 = 8 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 53 | 7049 |
| 150 and 190 | 2850 |
| 114 and 149 | 16986 |
| 17 and 184 | 3128 |
| 35 and 15 | 105 |