Least Common Multiple (LCM) of 178 and 149
The least common multiple (LCM) of 178 and 149 is 26522.
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 149?
First, calculate the GCD of 178 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 149 = 1 remainder 29 |
| 2 | 149 ÷ 29 = 5 remainder 4 |
| 3 | 29 ÷ 4 = 7 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 73 and 97 | 7081 |
| 130 and 163 | 21190 |
| 173 and 173 | 173 |
| 136 and 121 | 16456 |
| 199 and 189 | 37611 |