Least Common Multiple (LCM) of 151 and 135
The least common multiple (LCM) of 151 and 135 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 151 and 135?
First, calculate the GCD of 151 and 135 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 135 = 1 remainder 16 |
| 2 | 135 ÷ 16 = 8 remainder 7 |
| 3 | 16 ÷ 7 = 2 remainder 2 |
| 4 | 7 ÷ 2 = 3 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 93 and 53 | 4929 |
| 106 and 107 | 11342 |
| 84 and 10 | 420 |
| 58 and 81 | 4698 |
| 123 and 126 | 5166 |