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 |
|---|---|
| 67 and 20 | 1340 |
| 180 and 190 | 3420 |
| 106 and 91 | 9646 |
| 172 and 154 | 13244 |
| 123 and 62 | 7626 |