Least Common Multiple (LCM) of 15 and 152
The least common multiple (LCM) of 15 and 152 is 2280.
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 152?
First, calculate the GCD of 15 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 15 ÷ 152 = 0 remainder 15 |
| 2 | 152 ÷ 15 = 10 remainder 2 |
| 3 | 15 ÷ 2 = 7 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 49 | 5047 |
| 192 and 128 | 384 |
| 153 and 170 | 1530 |
| 118 and 156 | 9204 |
| 128 and 114 | 7296 |