Least Common Multiple (LCM) of 150 and 136
The least common multiple (LCM) of 150 and 136 is 10200.
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 136?
First, calculate the GCD of 150 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 136 = 1 remainder 14 |
| 2 | 136 ÷ 14 = 9 remainder 10 |
| 3 | 14 ÷ 10 = 1 remainder 4 |
| 4 | 10 ÷ 4 = 2 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 56 and 195 | 10920 |
| 164 and 142 | 11644 |
| 45 and 112 | 5040 |
| 154 and 77 | 154 |
| 67 and 115 | 7705 |