Least Common Multiple (LCM) of 15 and 147
The least common multiple (LCM) of 15 and 147 is 735.
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 15 and 147?
First, calculate the GCD of 15 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 15 ÷ 147 = 0 remainder 15 |
| 2 | 147 ÷ 15 = 9 remainder 12 |
| 3 | 15 ÷ 12 = 1 remainder 3 |
| 4 | 12 ÷ 3 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 77 and 178 | 13706 |
| 45 and 35 | 315 |
| 103 and 145 | 14935 |
| 95 and 94 | 8930 |
| 179 and 101 | 18079 |