Least Common Multiple (LCM) of 136 and 151
The least common multiple (LCM) of 136 and 151 is 20536.
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 136 and 151?
First, calculate the GCD of 136 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 151 = 0 remainder 136 |
| 2 | 151 ÷ 136 = 1 remainder 15 |
| 3 | 136 ÷ 15 = 9 remainder 1 |
| 4 | 15 ÷ 1 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 74 and 56 | 2072 |
| 180 and 36 | 180 |
| 66 and 100 | 3300 |
| 149 and 20 | 2980 |
| 54 and 147 | 2646 |