Least Common Multiple (LCM) of 15 and 164
The least common multiple (LCM) of 15 and 164 is 2460.
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 164?
First, calculate the GCD of 15 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 15 ÷ 164 = 0 remainder 15 |
| 2 | 164 ÷ 15 = 10 remainder 14 |
| 3 | 15 ÷ 14 = 1 remainder 1 |
| 4 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 32 and 70 | 1120 |
| 19 and 196 | 3724 |
| 185 and 157 | 29045 |
| 173 and 120 | 20760 |
| 111 and 158 | 17538 |