Least Common Multiple (LCM) of 134 and 150
The least common multiple (LCM) of 134 and 150 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 134 and 150?
First, calculate the GCD of 134 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 150 = 0 remainder 134 |
| 2 | 150 ÷ 134 = 1 remainder 16 |
| 3 | 134 ÷ 16 = 8 remainder 6 |
| 4 | 16 ÷ 6 = 2 remainder 4 |
| 5 | 6 ÷ 4 = 1 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 45 | 4545 |
| 126 and 195 | 8190 |
| 38 and 106 | 2014 |
| 120 and 35 | 840 |
| 118 and 12 | 708 |