Least Common Multiple (LCM) of 155 and 124
The least common multiple (LCM) of 155 and 124 is 620.
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 155 and 124?
First, calculate the GCD of 155 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 124 = 1 remainder 31 |
| 2 | 124 ÷ 31 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 57 and 144 | 2736 |
| 155 and 63 | 9765 |
| 81 and 67 | 5427 |
| 39 and 85 | 3315 |
| 20 and 105 | 420 |