Least Common Multiple (LCM) of 151 and 166
The least common multiple (LCM) of 151 and 166 is 25066.
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 166?
First, calculate the GCD of 151 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 166 = 0 remainder 151 |
| 2 | 166 ÷ 151 = 1 remainder 15 |
| 3 | 151 ÷ 15 = 10 remainder 1 |
| 4 | 15 ÷ 1 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 173 | 18857 |
| 36 and 114 | 684 |
| 21 and 78 | 546 |
| 155 and 11 | 1705 |
| 16 and 165 | 2640 |