Least Common Multiple (LCM) of 151 and 178
The least common multiple (LCM) of 151 and 178 is 26878.
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 151 and 178?
First, calculate the GCD of 151 and 178 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 178 = 0 remainder 151 |
| 2 | 178 ÷ 151 = 1 remainder 27 |
| 3 | 151 ÷ 27 = 5 remainder 16 |
| 4 | 27 ÷ 16 = 1 remainder 11 |
| 5 | 16 ÷ 11 = 1 remainder 5 |
| 6 | 11 ÷ 5 = 2 remainder 1 |
| 7 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 125 | 13500 |
| 40 and 36 | 360 |
| 155 and 81 | 12555 |
| 17 and 18 | 306 |
| 186 and 72 | 2232 |