Least Common Multiple (LCM) of 151 and 134
The least common multiple (LCM) of 151 and 134 is 20234.
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 134?
First, calculate the GCD of 151 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 134 = 1 remainder 17 |
| 2 | 134 ÷ 17 = 7 remainder 15 |
| 3 | 17 ÷ 15 = 1 remainder 2 |
| 4 | 15 ÷ 2 = 7 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 185 and 80 | 2960 |
| 183 and 71 | 12993 |
| 35 and 72 | 2520 |
| 35 and 27 | 945 |
| 147 and 67 | 9849 |