Least Common Multiple (LCM) of 154 and 92
The least common multiple (LCM) of 154 and 92 is 7084.
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 92?
First, calculate the GCD of 154 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 92 = 1 remainder 62 |
| 2 | 92 ÷ 62 = 1 remainder 30 |
| 3 | 62 ÷ 30 = 2 remainder 2 |
| 4 | 30 ÷ 2 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 134 and 85 | 11390 |
| 18 and 112 | 1008 |
| 54 and 168 | 1512 |
| 53 and 153 | 8109 |
| 46 and 15 | 690 |