Least Common Multiple (LCM) of 150 and 134
The least common multiple (LCM) of 150 and 134 is 10050.
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 150 and 134?
First, calculate the GCD of 150 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 134 = 1 remainder 16 |
| 2 | 134 ÷ 16 = 8 remainder 6 |
| 3 | 16 ÷ 6 = 2 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 73 | 11461 |
| 35 and 79 | 2765 |
| 169 and 14 | 2366 |
| 197 and 200 | 39400 |
| 18 and 109 | 1962 |