Least Common Multiple (LCM) of 151 and 77
The least common multiple (LCM) of 151 and 77 is 11627.
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 77?
First, calculate the GCD of 151 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 77 = 1 remainder 74 |
| 2 | 77 ÷ 74 = 1 remainder 3 |
| 3 | 74 ÷ 3 = 24 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 78 and 179 | 13962 |
| 114 and 67 | 7638 |
| 122 and 56 | 3416 |
| 34 and 154 | 2618 |
| 112 and 168 | 336 |