Least Common Multiple (LCM) of 15 and 124
The least common multiple (LCM) of 15 and 124 is 1860.
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 124?
First, calculate the GCD of 15 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 15 ÷ 124 = 0 remainder 15 |
| 2 | 124 ÷ 15 = 8 remainder 4 |
| 3 | 15 ÷ 4 = 3 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 150 | 7800 |
| 159 and 29 | 4611 |
| 115 and 79 | 9085 |
| 140 and 101 | 14140 |
| 175 and 153 | 26775 |