Least Common Multiple (LCM) of 155 and 84
The least common multiple (LCM) of 155 and 84 is 13020.
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 84?
First, calculate the GCD of 155 and 84 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 84 = 1 remainder 71 |
| 2 | 84 ÷ 71 = 1 remainder 13 |
| 3 | 71 ÷ 13 = 5 remainder 6 |
| 4 | 13 ÷ 6 = 2 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 94 | 8460 |
| 61 and 199 | 12139 |
| 58 and 169 | 9802 |
| 36 and 177 | 2124 |
| 18 and 152 | 1368 |