Least Common Multiple (LCM) of 151 and 108
The least common multiple (LCM) of 151 and 108 is 16308.
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 108?
First, calculate the GCD of 151 and 108 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 108 = 1 remainder 43 |
| 2 | 108 ÷ 43 = 2 remainder 22 |
| 3 | 43 ÷ 22 = 1 remainder 21 |
| 4 | 22 ÷ 21 = 1 remainder 1 |
| 5 | 21 ÷ 1 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 177 | 26373 |
| 80 and 149 | 11920 |
| 11 and 107 | 1177 |
| 19 and 162 | 3078 |
| 129 and 130 | 16770 |