Least Common Multiple (LCM) of 66 and 151
The least common multiple (LCM) of 66 and 151 is 9966.
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 66 and 151?
First, calculate the GCD of 66 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 66 ÷ 151 = 0 remainder 66 |
| 2 | 151 ÷ 66 = 2 remainder 19 |
| 3 | 66 ÷ 19 = 3 remainder 9 |
| 4 | 19 ÷ 9 = 2 remainder 1 |
| 5 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 177 | 5487 |
| 34 and 161 | 5474 |
| 108 and 65 | 7020 |
| 99 and 175 | 17325 |
| 156 and 10 | 780 |