Least Common Multiple (LCM) of 178 and 157
The least common multiple (LCM) of 178 and 157 is 27946.
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 157?
First, calculate the GCD of 178 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 157 = 1 remainder 21 |
| 2 | 157 ÷ 21 = 7 remainder 10 |
| 3 | 21 ÷ 10 = 2 remainder 1 |
| 4 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 149 | 19370 |
| 133 and 123 | 16359 |
| 24 and 187 | 4488 |
| 76 and 166 | 6308 |
| 20 and 21 | 420 |