Least Common Multiple (LCM) of 154 and 82
The least common multiple (LCM) of 154 and 82 is 6314.
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 154 and 82?
First, calculate the GCD of 154 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 82 = 1 remainder 72 |
| 2 | 82 ÷ 72 = 1 remainder 10 |
| 3 | 72 ÷ 10 = 7 remainder 2 |
| 4 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 153 and 82 | 12546 |
| 101 and 55 | 5555 |
| 105 and 120 | 840 |
| 129 and 99 | 4257 |
| 178 and 18 | 1602 |