Least Common Multiple (LCM) of 135 and 151
The least common multiple (LCM) of 135 and 151 is 20385.
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 135 and 151?
First, calculate the GCD of 135 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 135 ÷ 151 = 0 remainder 135 |
| 2 | 151 ÷ 135 = 1 remainder 16 |
| 3 | 135 ÷ 16 = 8 remainder 7 |
| 4 | 16 ÷ 7 = 2 remainder 2 |
| 5 | 7 ÷ 2 = 3 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 64 and 25 | 1600 |
| 40 and 200 | 200 |
| 12 and 11 | 132 |
| 14 and 114 | 798 |
| 109 and 176 | 19184 |