Least Common Multiple (LCM) of 178 and 151
The least common multiple (LCM) of 178 and 151 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 178 and 151?
First, calculate the GCD of 178 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 151 = 1 remainder 27 |
| 2 | 151 ÷ 27 = 5 remainder 16 |
| 3 | 27 ÷ 16 = 1 remainder 11 |
| 4 | 16 ÷ 11 = 1 remainder 5 |
| 5 | 11 ÷ 5 = 2 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 26 and 179 | 4654 |
| 25 and 56 | 1400 |
| 90 and 18 | 90 |
| 74 and 115 | 8510 |
| 49 and 15 | 735 |