Least Common Multiple (LCM) of 134 and 151
The least common multiple (LCM) of 134 and 151 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 134 and 151?
First, calculate the GCD of 134 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 151 = 0 remainder 134 |
| 2 | 151 ÷ 134 = 1 remainder 17 |
| 3 | 134 ÷ 17 = 7 remainder 15 |
| 4 | 17 ÷ 15 = 1 remainder 2 |
| 5 | 15 ÷ 2 = 7 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 138 | 24150 |
| 126 and 196 | 1764 |
| 48 and 170 | 4080 |
| 145 and 159 | 23055 |
| 139 and 124 | 17236 |