Least Common Multiple (LCM) of 151 and 136
The least common multiple (LCM) of 151 and 136 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 151 and 136?
First, calculate the GCD of 151 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 136 = 1 remainder 15 |
| 2 | 136 ÷ 15 = 9 remainder 1 |
| 3 | 15 ÷ 1 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 145 and 36 | 5220 |
| 17 and 18 | 306 |
| 55 and 49 | 2695 |
| 144 and 174 | 4176 |
| 74 and 138 | 5106 |