Least Common Multiple (LCM) of 154 and 73
The least common multiple (LCM) of 154 and 73 is 11242.
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 73?
First, calculate the GCD of 154 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 73 = 2 remainder 8 |
| 2 | 73 ÷ 8 = 9 remainder 1 |
| 3 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 128 | 13440 |
| 73 and 88 | 6424 |
| 190 and 64 | 6080 |
| 84 and 23 | 1932 |
| 42 and 123 | 1722 |